List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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1. |
V. P. Platonov, V. S. Zhgoon, G.V. Fedorov, Mat. Sb. (to appear) |
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2024 |
2. |
V. P. Platonov, G. V. Fedorov, “Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period”, Doklady Mathematics, 109 (2024), 147-151 |
3. |
V. P. Platonov, Uspekhi Mat. Nauk |
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2024 |
4. |
V. P. Platonov, G.V. Fedorov, “Continued fractions in hyperelliptic fields with an arbitrarily long period”, Dokl. Math., 109:2 (2024), 147–151 |
5. |
A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745 |
6. |
V. M. Buchstaber, V. P. Platonov, A. L. Semenov, V. A. Bykovskii, Yu. V. Nesterenko, V. N. Chubarikov, N. M. Dobrovol'skii, “Sergei Petrovich Novikov (20.03.1938 – 6.06.2024)”, Chebyshevskii Sb., 25:2 (2024), 364–365 |
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2023 |
7. |
V. P. Platonov, M. M. Petrunin, “New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields”, Proc. Steklov Inst. Math., 320 (2023), 258–266 |
8. |
Vladimir Platonov, Andrei Rapinchuk, Igor Rapinchuk, Algebraic Groups and Number Theory, v. 1, Cambridge studies in advanced mathematics, 205, Second Edition, Cambridge University Press, Cambridge, 2023 , 381 pp.
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3
[x]
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9. |
V. P. Platonov, V. S. Zhgoon, G.V. Fedorov, “On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields”, Dokl. Math., 108:2 (2023), 382–386 |
10. |
F. A. Bogomolov, A. M. Vershik, S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarhin, S. V. Konyagin, Vik. S. Kulikov, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, I. A. Panin, V. P. Platonov, V. L. Popov, Yu. G. Prokhorov, A. L. Smirnov, “Alexey Nikolaevich Parshin (obituary)”, Russian Math. Surveys, 78:3 (2023), 549–554 |
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2022 |
11. |
V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, “On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials $f$ over algebraic number fields”, Sb. Math., 213:3 (2022), 412–442 |
12. |
V. P. Platonov, G. V. Fedorov, “Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields”, Doklady Mathematics, V. 106:(Suppl 2) (2022), S262 –S269 |
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2021 |
13. |
V. P. Platonov, G. V. Fedorov, “On the classification problem for polynomials $f$ with a periodic continued fraction expansion of $\sqrt{f}$ in hyperelliptic fields”, Izv. Math., 85:5 (2021), 972–1007 |
14. |
V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “On the Periodicity Problem for the Continued Fraction Expansion of Elements of Hyperelliptic Fields with Fundamental $S$-Units of Degree at Most 11”, Dokl. Math., 104:5 (2021), 258–263 |
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2020 |
15. |
V. P. Platonov, G. V. Fedorov, “On the problem of classification of periodic continued fractions in hyperelliptic fields”, Russian Math. Surveys, 75:4 (2020), 785–787 |
16. |
V.P. Platonov, M.M. Petrunin, Yu.N. Shteinikov, “Periodicheskie elementy $\sqrt f$ v ellipticheskikh polyakh s polem konstant nulevoi kharakteristiki”, Chebyshevskii sbornik, 21:1 (2020), 273-298 |
17. |
V. P. Platonov, M. M. Petrunin, V. S. Zhgoon, “On the Problem of Periodicity of Continued Fraction Expansions of $\sqrt{f}$ for Cubic Polynomials over Number Fields”, Dokl. Math., 102:1 (2020), 288–292 |
18. |
V.P. Platonov, M.M. Petrunin, “On the Finiteness of the Number of Expansions into a Continued Fraction of √f for Cubic Polynomials over Algebraic Number Fields”, Dokl. Math., 102:3 (2020), 487–492 |
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2019 |
19. |
V. P. Platonov, M. M. Petrunin, “On infinite-dimensional integer Hankel matrices”, Dokl. Math., 99:2 (2019), 218–220 |
20. |
V. P. Platonov, G. V. Fedorov, “On $S$-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields”, Dokl. Math., 99:3 (2019), 277–281 |
21. |
V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “On the Finiteness of the Number of Elliptic Fields with Given Degrees of $S$-Units and Periodic Expansion of $\sqrt f$”, Dokl. Math., 100:2 (2019), 1–5 |
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2022 |
22. |
V. P. Platonov, G. V. Fedorov, “The criterion of periodicity of continued fractions of key elements in hyperelliptic fields”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 262–269 |
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2018 |
23. |
V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559 |
24. |
V. P. Platonov, M. M. Petrunin, “Groups of $S$-units and the problem of periodicity of continued fractions in hyperelliptic fields”, Proc. Steklov Inst. Math., 302 (2018), 336–357 |
25. |
V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, Dokl. Math., 98:2 (2018), 430–434 |
26. |
V. P. Platonov, M. M. Petrunin, “On New Arithmetic Properties of Determinants of Hankel Matrices”, Dokl. Math., 98:1 (2018), 370–372 |
27. |
V. P. Platonov, G. V. Fedorov, “An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28”, Dokl. Math., 98:2 (2018), 468–471 |
28. |
V. P. Platonov, M. M. Petrunin, V. S. Zhgoon, Yu. N. Shteinikov, “On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of $\sqrt f$”, Dokl. Math., 98:3 (2018), 641–645 |
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2017 |
29. |
V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 95:3 (2017), 254–258 |
30. |
V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in elliptic fields”, Dokl. Math., 96:1 (2017), 332–335 |
31. |
V. P. Platonov, “On new properties of Hankel matrices over the field of rational numbers”, Russian Math. Surveys, 72:5 (2017), 963–964 |
32. |
L. A. Bokut', E. I. Zelmanov, P. Zusmanovich, V. G. Kac, L. G. Makar-Limanov, Yu. I. Manin, S. P. Novikov, A. N. Parshin, V. P. Platonov, I. A. Taimanov, U. U. Umirbaev, I. P. Shestakov, “Askar Serkulovich Dzhumadil'daev (on his 60th birthday)”, Russian Math. Surveys, 72:4 (2017), 777–781 |
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2016 |
33. |
V. P. Platonov, M. M. Petrunin, “$S$-Units and periodicity in quadratic function fields”, Russian Math. Surveys, 71:5 (2016), 973–975 |
34. |
V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Continued Rational Fractions in Hyperelliptic Fields and the Mumford Representation”, Dokl. Math., 94:3 (2016), 692–696 |
35. |
V. P. Platonov, M. M. Petrunin, “$S$-units in hyperelliptic fields and periodicity of continued fractions”, Dokl. Math., 94:2 (2016), 532–537 |
36. |
L. A. Bokut', E. S. Golod, R. I. Grigorchuk, V. N. Zhelyabin, V. G. Kats, A. R. Kemer, V. V. Kirichenko, P. S. Kolesnikov, S. S. Kutateladze, V. N. Latyshev, Yu. N. Maltsev, G. A. Margulis, A. V. Mikhalev, A. G. Myasnikov, S. P. Novikov, A. Yu. Ol'shanskii, A. N. Parshin, V. P. Platonov, Yu. G. Reshetnyak, N. S. Romanovskii, I. A. Taimanov, O. G. Kharlampovich, V. K. Kharchenko, L. N. Shevrin, I. P. Shestakov, A. V. Yakovlev, “Efim Isaakovich Zelmanov is 60 years old”, Russian Math. Surveys, 71:4 (2016), 793–800 |
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2015 |
37. |
V. P. Platonov, M. M. Petrunin, “New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order”, Dokl. Math., 91:2 (2015), 220–221 |
38. |
V. P. Platonov, G. V. Fedorov, “$S$-units and periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 92:3 (2015), 752–756 |
39. |
V. P. Platonov, M. M. Petrunin, “Fundamental $S$-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves”, Dokl. Math., 92:3 (2015), 667–669 |
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2014 |
40. |
V. P. Platonov, “Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field”, Russian Math. Surveys, 69:1 (2014), 1–34 |
41. |
A. I. Aptekarev, A. L. Afendikov, V. M. Buchstaber, S. K. Godunov, A. B. Zhizhchenko, V. V. Kozlov, A. I. Maslov, V. P. Platonov, V. F. Tishkin, L. D. Faddeev, “Boris Nikolaevich Chetverushkin (on his 70th birthday)”, Russian Math. Surveys, 69:2 (2014), 387–392 |
42. |
N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754 |
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2013 |
43. |
V. P. Platonov, V. S. Zhgun, M. M. Petrunin, “On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order”, Dokl. Math., 87:3 (2013), 318–321 |
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2012 |
44. |
B. P. Platonov, M. M. Petrunin, “On the torsion problem in jacobians of curves of genus 2 over the rational number field”, Dokl. Math., 86:2 (2012), 642–643 |
45. |
V. P. Platonov, M. M. Petrunin, “New orders of torsion points in Jacobians of curves of genus 2 over the rational number field”, Dokl. Math., 85:2 (2012), 286–288 |
46. |
F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193 |
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2010 |
47. |
V. P. Platonov, “Arithmetic properties of quadratic function fields and torsion in Jacobians”, Chebyshevskii Sb., 11:1 (2010), 234–238 |
48. |
V. P. Platonov, “New properties of arithmetic groups”, Russian Math. Surveys, 65:5 (2010), 951–975 |
49. |
V. P. Platonov, “Arithmetic of quadratic fields and torsion in Jacobians”, Doklady Mathematics, 81:1 (2010), 55-57 |
50. |
V. P. Platonov, V. V. Benyash-Krivets, “A new local-global principle for quadratic functional fields”, Dokl. Math., 82:1 (2010), 531–534 |
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2009 |
51. |
V. P. Platonov, S. P. Strunkov, “On some equations related to the $tpp$-groups”, Discrete Math. Appl., 19:6 (2009), 597–599 |
52. |
V. V. Benyash-Krivets, V. P. Platonov, “Groups of $S$-units in hyperelliptic fields and continued fractions”, Sb. Math., 200:11 (2009), 1587–1615 |
53. |
V. P. Platonov, “Minimal irreducible linear groups and representations of finite groups”, Dokl. Math., 79:1 (2009), 125–127 |
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2008 |
54. |
V. V. Benyash-Krivets, V. P. Platonov, “Continued fractions and $S$-units in hyperelliptic fields”, Russian Math. Surveys, 63:2 (2008), 357–359 |
55. |
V. V. Benyash-Krivets, V. P. Platonov, “Nepreryvnye drobi i $S$-edinitsy v funktsionalnykh polyakh”, Dokl. RAN, 423:2 (2008), 155–160
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2
[x]
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2007 |
56. |
V. V. Benyash-Krivets, V. P. Platonov, “$S$-units in hyperelliptic fields”, Russian Math. Surveys, 62:4 (2007), 784–786 |
57. |
V. V. Benyash-Krivets, V. P. Platonov, “Gruppy $S$-edinits v giperellipticheskikh polyakh”, Dokl. RAN, 417:4 (2007), 446–450
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4
[x]
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2006 |
58. |
V. P. Platonov, “Lineinye predstavleniya grupp avtomorfizmov svobodnykh razreshimykh grupp”, Dokl. RAN, 406:4 (2006), 462–463
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1
[x]
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2004 |
59. |
F. Grunewald, V. Platonov, “New properties of lattices in Lie groups”, C. R. Math. Acad. Sci. Paris, 338:4 (2004), 271–276
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4
[x]
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2001 |
60. |
V. P. Platonov, A. Potapchik, “New combinatorial properties of linear groups”, J. Algebra, 235:1 (2001), 399–415
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4
[x]
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1999 |
61. |
V. P. Platonov, “Rigidity for groups with radical, cohomology of finite groups, and arithmeticity problems”, Russian Math. Surveys, 54:1 (1999), 171–179 |
62. |
F. Grunewald, V. Platonov, “Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems”, Duke Math. J., 100:2 (1999), 321–358
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10
[x]
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63. |
F. Grunewald, V. Platonov, “Solvable arithmetic groups and arithmeticity problems”, Internat. J. Math., 10:3 (1999), 327–366
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7
[x]
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64. |
Russian Math. Surveys, 54:2 (1999), 477 |
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1998 |
65. |
V. I. Chernousov, V. P. Platonov, “The rationality problem for semisimple group varieties”, J. Reine Angew. Math., 504 (1998), 1–28 |
66. |
F. Grunewald, V. Platonov, “Rigidity and automorphism groups of solvable arithmetic groups”, C. R. Acad. Sci. Paris Sér. I Math., 327:5 (1998), 427–432
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6
[x]
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67. |
F. Grunewald, V. Platonov, “Non-arithmetic polycyclic groups”, C. R. Acad. Sci. Paris Sér. I Math., 326:12 (1998), 1359–1364
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5
[x]
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68. |
V. P. Platonov, “Rationality problems for group varieties”, European Congress of Mathematics (Budapest, 1996), v. II, Progr. Math., 169, Birkhäuser, Basel, 1998, 151–158 |
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1997 |
69. |
V. P. Platonov, V. I. Chernousov, “On the problem of rational group varieties”, Dokl. Math., 56:3 (1997), 873–876 |
70. |
F. Grunewald, V. Platonov, “On finite extensions of arithmetic groups”, C. R. Acad. Sci. Paris Sér. I Math., 325:11 (1997), 1153–1158
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11
[x]
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71. |
V. P. Platonov, B. Sury, “Adelic profinite groups”, J. Algebra, 193:2 (1997), 757–763
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3
[x]
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1996 |
72. |
D. Ž. Ðoković, V. P. Platonov, “Low-dimensional representations of ${\rm Aut}(F_2)$”, Manuscripta Math., 89:4 (1996), 475–509
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7
[x]
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73. |
V. P. Platonov, V. I. Chernousov, “The rationality problem for group varieties”, C. R. Acad. Sci. Paris Sér. I Math., 322:3 (1996), 245–250 |
74. |
V. P. Platonov, D. Ž. Ðoković, “Subgroups of $\mathrm{GL}(n^2,\mathbf C)$ containing $\mathrm{PSU}(n)$”, Trans. Amer. Math. Soc., 348:1 (1996), 141–152
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10
[x]
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1995 |
75. |
V. P. Platonov, V. I. Yanchevskii, “Finite-dimensional division algebras”, Algebra, IX, Encyclopaedia Math. Sci., 77, Springer, Berlin, 1995, 121–239
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4
[x]
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76. |
V. P. Platonov, D. Ž. Ðoković, “Linear preserver problems and algebraic groups”, Math. Ann., 303:1 (1995), 165–184
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11
[x]
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1994 |
77. |
V. Platonov, A. Rapinchuk, Algebraic groups and number theory, Pure and Applied Mathematics, 139, Academic Press Inc., Boston, MA, 1994 , xii+614 pp.
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61
[x]
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78. |
V. P. Platonov, “Subgroups of algebraic groups over a local or global field containing a maximal torus”, C. R. Acad. Sci. Paris Sér. I Math., 318:10 (1994), 899–903 |
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1993 |
79. |
D. Ž. Ðoković, V. P. Platonov, “Algebraic groups and linear preserver problems”, C. R. Acad. Sci. Paris Sér. I Math., 317:10 (1993), 925–930 |
80. |
V. P. Platonov, A. S. Rapinchuk, “Abstract properties of $S$-arithmetic groups and the congruence s problem”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 455–476 |
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1992 |
81. |
V. P. Platonov, A. S. Rapinchuk, “Algebraic groups and number theory”, Russian Math. Surveys, 47:2 (1992), 133–161 |
82. |
V. Platonov, “Local-global principles in algebra and number theory”, Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989), Contemp. Math., 131, Amer. Math. Soc., Providence, RI, 1992, 475–483
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1
[x]
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1991 |
83. |
V. P. Platonov, V. I. Yanchevskii, “Finite-dimensional skew fields”, Algebra – 9, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 77, VINITI, Moscow, 1991, 144–262 |
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1992 |
84. |
V. P. Platonov, A. S. Rapinchuk, “Abstract characterizations of arithmetic groups with the congruence property”, Dokl. Math., 44:1 (1992), 342–347 |
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1991 |
85. |
V. P. Platonov, A. S. Rapinchuk, Algebraicheskie gruppy i teoriya chisel, Nauka, M., 1991 , 656 pp. |
86. |
V. P. Platonov, V. V. Benyash-Krivets, “Character rings of representations of finitely generated groups”, Proc. Steklov Inst. Math., 183 (1991), 203–213 |
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1990 |
87. |
V. P. Platonov, O. I. Tavgen', “Grothendieck's problem on profinite completions and representations of groups”, $K$-Theory, 4:1 (1990), 89–101
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10
[x]
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88. |
A. S. Dzhumadil'daev, V. P. Platonov, “Soviet-Indian Symposium “Algebraic Groups and Lie Algebras””, Russian Math. Surveys, 45:6 (1990), 191–199 |
89. |
V. I. Bernik, I. P. Kubilyus, V. P. Platonov, “All-Union School “Constructive Methods and Algorithms of Number Theory””, Uspekhi Mat. Nauk, 45:2(272) (1990), 230 |
90. |
R. T. Volvachev, I. V. Gaishun, L. I. Kiselevskii, V. I. Krylov, V. P. Platonov, F. I. Fedorov, “Dmitrii Alekseevich Suprunenko”, Izv. AN BSSR. Ser. fiz.-mat. n., 1990, no. 6, 112–114 |
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1989 |
91. |
V. P. Platonov, A. S. Rapinchuk, “The structure of groups of rational points of classical algebraic groups over number fields”, Siberian Math. J., 30:6 (1989), 980–993 |
92. |
V. P. Platonov, “Koltsa i mnogoobraziya predstavlenii konechno porozhdennykh grupp”, Voprosy algebry, 4, Universitetskoe, Minsk, 1989, 36–40 |
93. |
V. I. Vorotnikov, L. N. Zaikov, E. K. Ligachev, A. N. Yakovlev, G. I. Marchuk, V. A. Grigor'ev, G. A. Yagodin, V. A. Kotel'nikov, P. N. Fedoseev, E. P. Velikhov, K. V. Frolov, A. A. Logunov, A. L. Yanshin, I. M. Makarov, N. G. Basov, N. N. Bogolyubov, V. S. Vladimirov, I. M. Gel'fand, A. A. Gonchar, N. N. Krasovskii, M. M. Lavrent'ev, V. A. Mel'nikov, Yu. A. Mitropol'skii, E. F. Mishchenko, S. M. Nikol'skii, S. P. Novikov, V. P. Platonov, A. V. Pogorelov, Yu. V. Prokhorov, L. I. Sedov, S. L. Sobolev, A. N. Tikhonov, L. D. Faddeev, R. V. Gamkrelidze, “Academician Lev Semenovich Pontryagin (obituary)”, Russian Math. Surveys, 44:1 (1989), 1–2 |
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1988 |
94. |
V. I. Bernik, A. A. Karatsuba, I. P. Kubilyus, V. P. Platonov, D. A. Suprunenko, “Vladimir Gennadievich Sprindzhuk (obituary)”, Russian Math. Surveys, 43:4 (1988), 195–197 |
95. |
Yu. L. Ershov, D. I. Zaitsev, A. I. Kostrikin, N. N. Krasovskii, Yu. A. Mitropol'skii, V. P. Platonov, D. K. Faddeev, L. A. Shemetkov, “Sergei Nikolaevich Chernikov (obituary)”, Russian Math. Surveys, 43:2 (1988), 153–155 |
96. |
V. I. Arnautov, A. I. Kostrikin, V. P. Platonov, Yu. M. Ryabukhin, L. A. Skornyakov, “Vladimir Aleksandrovich Andrunakievich (on his seventieth birthday)”, Russian Math. Surveys, 43:1 (1988), 261–263 |
97. |
V. P. Platonov, D. A. Suprunenko, V. I. Bernik, R. T. Volvachev, “Vladimir Gennadevich Sprindzhuk”, Izv. AN BSSR. Ser. fiz.-mat. n., 1988, no. 1, 120–121 |
98. |
V. P. Platonov, V. I. Yanchevskii, “Finite-dimensional Henselian division algebras”, Dokl. Math., 36:3 (1988), 502–506 |
99. |
V. P. Platonov, V. I. Yanchevskii, “On the theory of Henselian division algebras”, Dokl. Math., 36:3 (1988), 468–472 |
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1987 |
100. |
Yu. A. Drakokhrust, V. P. Platonov, “The Hasse norm principle for algebraic number fields”, Math. USSR-Izv., 29:2 (1987), 299–322 |
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1986 |
101. |
V. P. Platonov, V. V. Benyash-Krivets, “Koltsa kharakterov $n$-mernykh predstavlenii konechno-porozhdennykh grupp”, Dokl. AN SSSR, 289:2 (1986), 293–297
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1
[x]
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102. |
V. P. Platonov, O. I. Tavgen, “K probleme Grotendika o prokonechnykh popolneniyakh grupp”, Dokl. AN SSSR, 288:5 (1986), 1054–1058
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1
[x]
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103. |
V. P. Platonov, D. A. Suprunenko, R. T. Volvachev, A. E. Zalesskii, A. V. Romanovskii, “Sergei Antonovich Chunikhin”, Izv. AN BSSR. Ser. fiz.-mat. n., 1986, no. 1, 122–123 |
104. |
V. P. Platonov, “Topology, ordinary differential equations, dynamical systems”, Proc. Steklov Inst. Math., 169 (1986), 51–59 |
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1985 |
105. |
V. P. Platonov, Yu. A. Drakokhrust, “Normennyi printsip Khasse dlya primarnykh rasshirenii polei algebraicheskikh chisel”, Dokl. AN SSSR, 285:4 (1985), 812–815
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1
[x]
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106. |
V. P. Platonov, Yu. A. Drakokhrust, “O printsipe Khasse dlya polei algebraicheskikh chisel”, Dokl. AN SSSR, 281:4 (1985), 793–797
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1
[x]
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107. |
V. P. Platonov, R. T. Volvachev, A. E. Zalesskii, “Dmitrii Alekseevich Suprunenko (k 70-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1985, no. 6, 116–117 |
108. |
V. P. Platonov, R. T. Volvachev, M. I. Saluk, A. V. Romanovskii, “Sergei Antonovich Chunikhin (k 80-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1985, no. 5, 115–116 |
109. |
V. P. Platonov, V. I. Yanchevskii, “Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory”, Math. USSR-Izv., 25:3 (1985), 573–599 |
110. |
V. P. Platonov, A. S. Rapinchuk, “Multiplicative structure of division algebras over number fields and the Hasse norm principle”, Proc. Steklov Inst. Math., 165 (1985), 187–205 |
111. |
V. P. Platonov, “Adèle groups and class numbers”, Proc. Steklov Inst. Math., 163 (1985), 239–248 |
|
1984 |
112. |
V. P. Platonov, V. I. Yanchevskii, “Gipoteza Dedonne o stroenii unitarnykh grupp i tela nad genzelevymi polyami”, Dokl. AN SSSR, 279:3 (1984), 546–549
|
1
[x]
|
113. |
V. P. Platonov, V. I. Yanchevskii, “Dieudonné's conjecture on the structure of unitary groups, and division rings over Henselian fields”, Dokl. Akad. Nauk SSSR, 279:3 (1984), 546–549 |
114. |
O. V. Mel'nikov, V. P. Platonov, “All-Union Algebraic Conference (Minsk)”, Uspekhi Mat. Nauk, 39:3(237) (1984), 253–255 |
|
1985 |
115. |
V. P. Platonov, S. A. Rapinchuk, “Algebraic groups”, J. Soviet Math., 31:3 (1985), 2939–2973 |
|
1983 |
116. |
V. P. Platonov, Predislovie k kn.: Dzh. Khamfri, Arifmeticheskie gruppy, Mir, M., 1983, 5–6 |
|
1982 |
117. |
V. P. Platonov, “The arithmetic theory of algebraic groups”, Russian Math. Surveys, 37:3 (1982), 1–62 |
118. |
V. P. Platonov, S. A. Rapinchuk, “Multiplikativnaya struktura tel nad chislovymi polyami i printsip Khasse”, Dokl. AN SSSR, 266:3 (1982), 560–564 |
|
1983 |
119. |
V. P. Platonov, “Birational properties of spinor varieties”, Proc. Steklov Inst. Math., 157 (1983), 173–182 |
|
1981 |
120. |
V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class numbers and groups of algebraic groups. II”, Math. USSR-Izv., 16:2 (1981), 357–372 |
|
1980 |
121. |
V. P. Platonov, V. I. Chernousov, “O ratsionalnosti kanonicheskikh spinornykh mnogoobrazii”, Dokl. AN SSSR, 252:4 (1980), 796–800
|
3
[x]
|
122. |
V. P. Platonov, “Algebraic groups and reduced $K$-theory”, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, 1980, 311–317 |
123. |
V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class numbers and groups of algebraic groups”, Math. USSR-Izv., 14:3 (1980), 547–569 |
|
1979 |
124. |
V. P. Platonov, “O privedennoi $K$-teorii dlya $n$-kratno genzelevykh polei”, Dokl. AN SSSR, 249:6 (1979), 1318–1320
|
1
[x]
|
125. |
V. P. Platonov, V. I. Yanchevskii, “Privedennaya gruppa Uaitkheda dlya tel nekommutativnykh ratsionalnykh funktsii”, Dokl. AN SSSR, 249:5 (1979), 1064–1068
|
2
[x]
|
126. |
V. P. Platonov, “K probleme ratsionalnosti spinornykh mnogoobrazii”, Dokl. AN SSSR, 248:3 (1979), 524–527
|
1
[x]
|
127. |
V. P. Platonov, A. S. Rapinchuk, “O gruppe ratsionalnykh tochek trekhmernykh grupp”, Dokl. AN SSSR, 247:2 (1979), 279–282
|
3
[x]
|
128. |
V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Chisla klassov algebraicheskikh grupp”, Dokl. AN SSSR, 245:1 (1979), 28–31
|
2
[x]
|
129. |
V. P. Platonov, V. I. Yanchevskii, Dokl. Akad. Nauk SSSR, 245:3 (1979), 520 |
|
1978 |
130. |
V. P. Platonov, V. I. Yanchevskii, “O stabilnosti v privedennoi $K$-teorii”, Dokl. AN SSSR, 242:4 (1978), 769–772
|
3
[x]
|
|
1977 |
131. |
V. P. Platonov, “Biratsionalnye svoistva privedennoi gruppy Uaitkheda”, Dokl. AN BSSR, 21:3 (1977), 197–198, 283 |
132. |
V. P. Platonov, “Algebraicheskaya gruppa”, Matematicheskaya entsiklopediya, v. 1, M., 1977, 142–143 |
133. |
V. P. Platonov, L. A. Yanovich, “Vladimir Ivanovich Krylov (k 75-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1977, no. 6, 124–126 |
|
1976 |
134. |
V. P. Platonov, “Ispravlenie: “Privedennaya gruppa Uaitkheda dlya tsiklicheskikh algebr” (Dokl. AN SSSR 228:1 (1976), 38–40)”, Dokl. AN SSSR, 230:1 (1976), 8 |
135. |
V. P. Platonov, “Privedennaya gruppa Uaitkheda dlya tsiklicheskikh algebr”, Dokl. AN SSSR, 228:1 (1976), 38–40
|
1
[x]
|
136. |
V. P. Platonov, “The Tannaka–Artin problem and reduced $K$-theory”, Math. USSR-Izv., 10:2 (1976), 211–243 |
137. |
V. P. Platonov, “The infinitude of the reduced Whitehead group in the Tannaka–Artin problem”, Math. USSR-Sb., 29:2 (1976), 167–176 |
|
1979 |
138. |
V. P. Platonov, “Reduced $K$-theory and approximation in algebraic groups”, Proc. Steklov Inst. Math., 142 (1979), 213–224 |
|
1976 |
139. |
V. P. Platonov, “Remarks on my paper "The Tannaka–Artin problem and reduced $K$-theory"”, Izv. Akad. Nauk SSSR Ser. Mat., 40:5 (1976), 1198 |
140. |
V. P. Platonov, “Ob approksimatsii v algebraicheskikh gruppakh nad proizvolnymi polyami”, Dokl. AN SSSR, 229:4 (1976), 804–807
|
1
[x]
|
141. |
V. P. Platonov, “O beskonechnosti privedennoi gruppy Uaitkheda”, Dokl. AN SSSR, 227:2 (1976), 299–301
|
1
[x]
|
|
1975 |
142. |
V. P. Platonov, “Arifmeticheskie i strukturnye problemy v lineinykh algebraicheskikh gruppakh”, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), v. 1, Anad. Math. Ongress, Montreal, Que., 1975, 471–478 |
143. |
V. P. Platonov, V. I. Yanchevskii, “O gipoteze Knezera–Titsa dlya unitarnykh grupp”, Dokl. AN SSSR, 225:1 (1975), 48–51
|
5
[x]
|
144. |
V. P. Platonov, “Konechnost minimalnykh neprivodimykh lineinykh grupp”, Izv. AN BSSR. Ser. fiz.-mat. n., 1975, no. 5, 96–97, 141 |
145. |
V. P. Platonov, “Problema Tannaka–Artina i gruppy proektivnykh konorm”, Dokl. AN SSSR, 222:6 (1975), 1299–1302
|
4
[x]
|
146. |
V. P. Platonov, “O probleme Tannaka–Artina”, Dokl. AN SSSR, 221:5 (1975), 1038–1041
|
10
[x]
|
147. |
V. P. Platonov, V. I. Yanchevskii, “O gipoteze Khardera”, Dokl. AN SSSR, 221:4 (1975), 784–787
|
5
[x]
|
148. |
A. E. Zalesskii, V. S. Konyukh, V. P. Platonov, “Dmitrii Alekseevich Suprunenko (k 60-letiyu so dnya rozhdeniya)”, Izv. AN BSSR. Ser. fiz.-mat. n., 1975, no. 5, 131–132 |
149. |
V. P. Platonov, “Algebraic groups”, J. Soviet Math., 4:5 (1975), 463–482 |
|
1974 |
150. |
V. P. Platonov, “Gipoteza Dedonne i nesyur'ektivnost nakrytii algebraicheskikh grupp na $k$-tochkakh”, Dokl. AN SSSR, 216 (1974), 986–989
|
3
[x]
|
|
1973 |
151. |
V. P. Platonov, “The arithmetic theory of linear algebraic groups and number theory”, Proc. Steklov Inst. Math., 132 (1973), 184–191 |
152. |
V. P. Platonov, M. V. Milovanov, “Opredelyaemost algebraicheskikh grupp arifmeticheskimi podgruppami”, Dokl. AN SSSR, 209 (1973), 43–46
|
1
[x]
|
153. |
V. P. Platonov, V. I. Yanchevskii, “Struktura unitarnykh grupp i kommutant prostoi algebry nad globalnymi polyami”, Dokl. AN SSSR, 208 (1973), 541–544
|
7
[x]
|
|
1972 |
154. |
V. P. Platonov, A. A. Sharomet, “O kongruents-probleme dlya lineinykh grupp nad arifmeticheskimi koltsami”, Dokl. AN BSSR, 16 (1972), 393–396, 477 |
155. |
V. P. Platonov, Predislovie k kn.: A. Borel, Lineinye algebraicheskie gruppy, Mir, M., 1972, 5–6 |
|
1971 |
156. |
V. P. Platonov, “O probleme roda v arifmeticheskikh gruppakh”, Dokl. AN SSSR, 200 (1971), 793–796
|
4
[x]
|
157. |
V. P. Platonov, “K probleme maksimalnosti arifmeticheskikh podgrupp”, Dokl. AN SSSR, 200 (1971), 530–533
|
5
[x]
|
158. |
V. P. Platonov, Nguen Kuok Tkhi, “Maksimalnye periodicheskie podgruppy lokalno kompaktnykh grupp”, Dokl. AN BSSR, 15 (1971), 575–577 |
159. |
V. P. Platonov, “O kongruents-probleme dlya razreshimykh tselochislennykh grupp”, Dokl. AN BSSR, 15 (1971), 869–872 |
|
1970 |
160. |
V. P. Platonov, “Addendum to the paper “The problem of strong approximation and the Kneser–Tits conjecture for algebraic groups””, Math. USSR-Izv., 4:4 (1970), 784–786 |
161. |
V. P. Platonov, G. V. Matveev, “Gruppy adelei i finitnaya approksimiruemost lineinykh grupp otnositelno sopryazhennosti”, Dokl. AN BSSR, 14 (1970), 777–779 |
162. |
V. P. Platonov, “All-Union School on Algebraic Groups”, Uspekhi Mat. Nauk, 25:1(151) (1970), 211–212 |
|
1969 |
163. |
V. P. Platonov, “The problem of strong approximation and the Kneser–Tits conjecture for algebraic groups”, Math. USSR-Izv., 3:6 (1969), 1139–1147 |
164. |
V. P. Platonov, “Adele groups and integral representations”, Math. USSR-Izv., 3:1 (1969), 147–154 |
165. |
V. P. Platonov, “On a problem of Mal'tsev”, Math. USSR-Sb., 8:4 (1969), 599–602 |
166. |
V. P. Platonov, “Notes to my paper “Groups and integer representations””, Math. USSR-Izv., 3:4 (1969), 879 |
167. |
V. P. Platonov, “Silnaya approksimatsiya v algebraicheskikh gruppakh i gipoteza Knezera–Titsa”, Dokl. AN BSSR, 13 (1969), 585–587 |
168. |
V. P. Platonov, “A proof of the finiteness hypothesis for solvable subgroups of algebraic groups”, Siberian Math. J., 10:5 (1969), 800–804 |
|
1968 |
169. |
V. P. Platonov, “Some remarks on linear groups”, Math. Notes, 4:6 (1968), 873–874 |
170. |
V. P. Platonov, “Gruppy adelei i problemy roda dlya tselochislennykh predstavlenii”, Dokl. AN BSSR, 12 (1968), 866–868 |
171. |
V. P. Platonov, “Ob odnoi zadache dlya konechno porozhdennykh grupp”, Dokl. AN BSSR, 12 (1968), 492–494 |
172. |
V. P. Platonov, “O topologicheskikh gruppakh s kompaktnym spektrom”, Dokl. AN BSSR, 12 (1968), 298 |
|
1967 |
173. |
V. P. Platonov, “Invariance theorems and algebraic groups with an almost-regular automorphism”, Math. USSR-Izv., 1:3 (1967), 667–675 |
174. |
V. P. Platonov, “Structure of topological locally projectively nilpotent groups, and of groups with a normalizer condition”, Math. USSR-Sb., 1:1 (1967), 31–47 |
175. |
V. P. Platonov, “Maksimalnye ogranichennye podgruppy $p$-adicheskikh grupp”, Dokl. AN BSSR, 11 (1967), 201–203 |
176. |
V. P. Platonov, “Lineinye gruppy s tozhdestvennymi sootnosheniyami”, Dokl. AN BSSR, 11 (1967), 581–582 |
|
1966 |
177. |
V. P. Platonov, “Locally projectively nilpotent subgroups and nilelements in topological groups”, Izv. Akad. Nauk SSSR Ser. Mat., 30:6 (1966), 1257–1274 |
178. |
V. P. Platonov, “The theory of algebraic linear groups and periodic groups”, Izv. Akad. Nauk SSSR Ser. Mat., 30:3 (1966), 573–620 |
179. |
V. P. Platonov, “Avtomorfizmy algebraicheskikh grupp”, Dokl. AN SSSR, 168 (1966), 1257–1260
|
2
[x]
|
180. |
V. P. Platonov, “Podgruppa Frattini lineinykh grupp i finitnaya approksimiruemost”, Dokl. AN SSSR, 171 (1966), 798–801
|
6
[x]
|
181. |
V. P. Platonov, “Periodic and compact subgroups of topological groups”, Siberian Math. J., 7:4 (1966), 681–697 |
182. |
V. P. Platonov, “Certain classes of topological groups”, Siberian Math. J., 7:5 (1966), 871–878 |
183. |
V. P. Platonov, A. E. Zalesskii, “O zadache Auerbakha”, Dokl. AN BSSR, 10:1 (1966), 5–6 |
184. |
V. P. Platonov, Dokl. Akad. Nauk SSSR, 167:6 (1966), 726 |
185. |
V. P. Platonov, Dokl. Akad. Nauk SSSR, 167:6 (1966), 726 |
|
1965 |
186. |
V. P. Platonov, “Lokalno proektivno nilpotentnyi radikal v topologicheskikh gruppakh”, Dokl. AN BSSR, 9 (1965), 573–577 |
187. |
V. P. Platonov, “K teorii topologicheskikh grupp”, Dokl. AN SSSR, 162 (1965), 755–758
|
1
[x]
|
188. |
V. P. Platonov, “Stroenie periodicheskikh lineinykh grupp i algebraicheskie gruppy”, Dokl. AN SSSR, 160 (1965), 541–544
|
1
[x]
|
189. |
V. P. Platonov, “Engelevy elementy i radikal v PI-algebrakh i topologicheskikh gruppakh”, Dokl. AN SSSR, 161 (1965), 288–291
|
2
[x]
|
|
1964 |
190. |
V. P. Platonov, “Periodicheskie i lokalno nilpotentnye podgruppy topologicheskikh grupp”, Dokl. AN SSSR, 158 (1964), 524–527 |
191. |
V. P. Platonov, “Lokalno proektivno nilpotentnye topologicheskie gruppy i gruppy s normalizatornym usloviem”, Dokl. AN BSSR, 8 (1964), 767–771 |
192. |
V. P. Platonov, “O polnoi privodimosti lineinykh grupp”, Izv. AN BSSR. Ser. fiz.-tekhn. n., 1964:3 (1964), 126–128 |
193. |
V. P. Platonov, “O nekotorykh klassakh topologicheskikh grupp”, Dokl. AN SSSR, 158 (1964), 784–787 |
|
1963 |
194. |
V. P. Platonov, “Rasscheplyaemye lineinye gruppy”, Dokl. AN SSSR, 151 (1963), 286–289
|
1
[x]
|
195. |
V. P. Platonov, “Periodicheskie podgruppy algebraicheskikh grupp”, Dokl. AN SSSR, 153 (1963), 270–272
|
1
[x]
|
196. |
V. P. Platonov, “Algebraicheskie $D$-gruppy”, Dokl. AN BSSR, 7 (1963), 729–731 |
197. |
V. P. Platonov, “O razreshimykh algebraicheskikh lineinykh gruppakh”, Dokl. AN BSSR, 7 (1963), 439–442 |
198. |
L. A. Suprunenko, V. P. Platonov, “Ob odnoi teoreme Shura”, Dokl. AN BSSR, 7 (1963), 510–512 |
199. |
V. P. Platonov, “Razreshimye algebraicheskie gruppy”, Dokl. AN BSSR, 7 (1963), 298–300 |
200. |
V. P. Platonov, “Razreshimye algebraicheskie gruppy”, Dokl. AN SSSR, 151 (1963), 48–51
|
1
[x]
|
|
1962 |
201. |
V. P. Platonov, “K teorii algebraicheskikh lineinykh grupp”, Dokl. AN SSSR, 146 (1962), 1025–1026 |
202. |
V. P. Platonov, “Odin klass topologicheskikh prostykh grupp”, Dokl. AN SSSR, 6 (1962), 212–213 |
203. |
V. P. Platonov, “Algebraicheskie matrichnye gruppy”, UMN, 17:6 (1962), 204–205
|
3
[x]
|
|