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Vavilov, Nikolay Aleksandrovich
(1952–2023)

Total publications: 145 (108)
in MathSciNet: 80 (78)
in zbMATH: 63 (62)
in Web of Science: 18 (16)
in Scopus: 33 (32)
Cited articles: 92
Citations: 945
Presentations: 21

Number of views:
This page:24035
Abstract pages:38775
Full texts:13156
References:3178
Professor
Doctor of physico-mathematical sciences (1988)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Keywords: algebraic groups, Chevalley groups, exceptional groups, classical groups, representation theory, algebraic K-theory, Lie algebras, Hopf algebras, associative and non-associative rings, rings, exceptional objects in algebra and geometry, arithmetic groups, presentations of groups, finite groups and geometries, computer algebra and symbolic computation, multilinear algebra, algebraic geometry, algebraic number theory.

Subject:

Structure theory and representations of algebraic groups, algebraic K-theory, overgroups of semisimple groups and tori.

Biography

Zum sehen geboren, zum schauen bestellt

   
Main publications:
  1. A.Stepanov, N.Vavilov, “Decomposition of transvections: a theme with variations”, K-theory, 19 (2000), 109–153
  2. N.Vavilov, “A third look at weight diagrams”, Rendiconti del Seminario Matematico dell'Universitá di Padova, 104 (2000), 201–250
  3. A.Bak, N.Vavilov, “Structure of hyperbolic unitary groups. I. Elementary subgroups”, Algebra Colloquium, 7:2 (2000), 159–196
  4. A.Bak, N.Vavilov, “Presenting powers of augmentation ideal and quadratic forms”, K-theory, 20 (2000), 299–309
  5. R.Hazrat, N.Vavilov, “$K_1$ of Chevalley groups are nilpotent”, J. Pure Appl. Algebra, 179 (2003), 99–116

https://www.mathnet.ru/eng/person21987
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:vavilov.nikolai-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/189570

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2023
1. N. A. Vavilov, V. G. Khalin, A. V. Yurkov, “The skies are falling: Mathematics for non-mathematicians”, Dokl. Math., 107:Suppl 1 (2023), S137–S150  mathnet  crossref  crossref  elib
2. N. A. Vavilov, “Bounded generation of relative subgroups in Chevalley groups”, Algebra i teoriya chisel. 6, Zap. nauchn. sem. POMI, 523, POMI, Spb., 2023, 7–18  mathnet;
3. N. Vavilov, Vl. Nesterov, “Subgroups generatred by a pair of $2$-tori in $\mathrm{GL}(5,K)$”, Problems in the theory of representations of algebras and groups. Part 39, Zap. Nauchn. Sem. POMI, 522, POMI, St. Petersburg, 2023, 8–45  mathnet
4. N. A. Vavilov, “St petersburg school of linear groups. i. prehistorical period”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023), 381–405  mathnet  crossref

   2022
5. N. Vavilov, Z. Zhang, “Commutators of relative and unrelative elementary unitary groups”, Algebra i analiz, 34:1 (2022), 61–104  mathnet  mathscinet;  crossref  mathscinet
6. N. Vavilov, V. Migrin, “Colourings of exceptional uniform polytopes of types $\mathrm{E}_6$ and $\mathrm{E}_7$”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXXIV, Zap. nauchn. sem. POMI, 517, POMI, SPb., 2022, 36–54  mathnet  mathscinet;
7. M. A. Buryakov, N. A. Vavilov, “Relative decomposition of transvections: explicit bounds”, Voprosy teorii predstavlenii algebr i grupp. 38, Zap. nauchn. sem. POMI, 513, POMI, SPb., 2022, 9–21  mathnet  mathscinet; 1

   2021
8. Vavilov N. A., “Kompyuter kak novaya realnost matematiki: IV. Problema Goldbakha”, Kompyuternye instrumenty v obrazovanii, 2021, no. 4, 5–71  crossref 1
9. N. A. Vavilov, V. Migrin, “Enhanced Dynkin diagrams done right”, Voprosy teorii predstavlenii algebr i grupp. 37, Zap. nauchn. sem. POMI, 500, POMI, SPb., 2021, 11–29  mathnet; 1

   2020
10. Vavilov N. A., “Kompyuter kak novaya realnost matematiki. I. Personal account”, Kompyuternye instrumenty v obrazovanii, 2020, no. 2, 5–26  crossref 2
11. Vavilov N. A., “Kompyuter kak novaya realnost matematiki. II. Problema Varinga”, Kompyuternye instrumenty v obrazovanii, 2020, no. 3, 5–55  crossref
12. Vavilov N. A., “Kompyuter kak novaya realnost matematiki: III. Chisla Mersenna i summy delitelei”, Kompyuternye instrumenty v obrazovanii, 2020, no. 4, 5–58  crossref 2
13. V. V. Nesterov, N. A. Vavilov, “Pairs of microweight tori in ${\operatorname{GL}}_n$”, Chebyshevskii sb., 21:4 (2020), 152–161  mathnet  crossref;
14. N. A. Vavilov, Z. Zhang, “Relative centralisers of relative subgroups”, Voprosy teorii predstavlenii algebr i grupp. 35, Zap. nauchn. sem. POMI, 492, POMI, SPb., 2020, 10–24  mathnet;

   2019
15. N. Vavilov, Z. Zhang, “Commutators of relative and unrelative elementary groups, revisited”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXXI, Zap. nauchn. sem. POMI, 485, POMI, SPb., 2019, 58–71  mathnet; 2
16. N. Vavilov, “Towards the reverse decomposition of unipotents. II. The relative case”, Voprosy teorii predstavlenii algebr i grupp. 35, Zap. nauchn. sem. POMI, 484, POMI, SPb., 2019, 5–22  mathnet; 4
17. N. Vavilov, “Commutators of congruence subgroups in the arithmetic case”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 5–22  mathnet; 4
18. J. Math. Sci. (N. Y.), 243:4 (2019), 527–534  mathnet  crossref  scopus
19. J. Math. Sci. (N. Y.), 243:4 (2019), 515–526  mathnet  crossref  scopus

   2017
20. J. Math. Sci. (N. Y.), 222:4 (2017), 466–515  mathnet  crossref  mathscinet  scopus

   2016
21. N. A. Vavilov, A. Yu. Luzgarev, “Normaliser of the Chevalley group of type $\mathrm E_7$”, St. Petersburg Math. J., 27:6 (2016), 899–921  mathnet  crossref  mathscinet  isi  elib  scopus

   2015
22. J. Math. Sci. (N. Y.), 209:6 (2015), 922–934  mathnet  crossref  scopus

   2016
23. J. Math. Sci. (N. Y.), 219:3 (2016), 355–369  mathnet  crossref  mathscinet

   2014
24. J. Math. Sci. (N. Y.), 200:6 (2014), 742–768  mathnet  crossref  scopus

   2013
25. N. A. Vavilov, A. A. Semenov, “Long root tori in Chevalley groups”, St. Petersburg Math. J., 24:3 (2013), 387–430  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
26. N. A. Vavilov, A. V. Shchegolev, “Overgroups of subsystem subgroups in exceptional groups: levels”, J. Math. Sci. (N. Y.), 192:2 (2013), 164–195  mathnet  crossref  mathscinet  scopus
27. K. O. Batalkin, N. A. Vavilov, “Parabolic subgroups of $\mathrm{SO}_{2l}$ over a Dedekind ring of arithmetic type”, J. Math. Sci. (N. Y.), 192:2 (2013), 154–163  mathnet  crossref  mathscinet  scopus

   2012
28. N. A. Vavilov, “An $\mathrm A_3$-proof of the structure theorems for Chevalley groups of types $\mathrm E_6$ and $\mathrm E_7$. II. The main lemma”, St. Petersburg Math. J., 23:6 (2012), 921–942  mathnet  crossref  mathscinet  isi  elib  elib  scopus
29. A. S. Ananyevskiy, N. A. Vavilov, S. S. Sinchuk, “Overgroups of $E(m,R)\otimes E(n,R)$. I”, St. Petersburg Math. J., 23:5 (2012), 819–849  mathnet  crossref  mathscinet  isi  elib  elib  scopus
30. N. A. Vavilov, S. S. Sinchuk, “Parabolic factorizations of split classical groups”, St. Petersburg Math. J., 23:4 (2012), 637–657  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2013
31. N. A. Vavilov, A. V. Stepanov, “Linear groups over general rings. I. Generalities”, J. Math. Sci. (N. Y.), 188:5 (2013), 490–550  mathnet  crossref  mathscinet  scopus
32. N. A. Vavilov, E. I. Kovach, “$\mathrm{SL}_2$-factorisations of Chevalley groups”, J. Math. Sci. (N. Y.), 188:5 (2013), 483–489  mathnet  crossref  mathscinet  scopus

   2012
33. N. A. Vavilov, A. V. Smolensky, B. Sury, “Unitriangular factorisations of Chevalley groups”, J. Math. Sci. (N. Y.), 183:5 (2012), 584–599  mathnet  crossref  scopus

   2011
34. J. Math. Sci. (N. Y.), 179:6 (2011), 662–678  mathnet  crossref  scopus

   2012
35. N. A. Vavilov, A. Yu. Luzgarev, “Chevalley group of type $\mathrm E_7$ in the 56-dimensional representation”, J. Math. Sci. (N. Y.), 180:3 (2012), 197–251  mathnet  crossref  scopus

   2010
36. N. A. Vavilov, “The structure of isotropic reductive groups”, Tr. Inst. Mat., 18:1 (2010), 15–27  mathnet
37. N. A. Vavilov, S. S. Sinchuk, “Dennis–Vaserstein type decompositions”, J. Math. Sci. (N. Y.), 171:3 (2010), 331–337  mathnet  crossref  scopus
38. N. A. Vavilov, V. G. Kazakevich, “More variations on decomposition of transvections”, J. Math. Sci. (N. Y.), 171:3 (2010), 322–330  mathnet  crossref  scopus
39. N. A. Vavilov, “Some more exceptional numerology”, J. Math. Sci. (N. Y.), 171:3 (2010), 317–321  mathnet  crossref  scopus
40. A. V. Alexandrov, N. A. Vavilov, “Parabolic subgroups of $\mathrm{SL}_n$ and $\mathrm{Sp}_{2l}$ over a Dedekind ring of arithmetic type”, J. Math. Sci. (N. Y.), 171:3 (2010), 307–316  mathnet  crossref  scopus
41. J. Math. Sci. (N. Y.), 168:3 (2010), 334–348  mathnet  crossref  scopus

   2009
42. N. A. Vavilov, V. G. Kazakevich, “Decomposition of transvections for automorphisms”, J. Math. Sci. (N. Y.), 161:4 (2009), 483–491  mathnet  crossref  zmath  elib  scopus
43. A. S. Ananievskiy, N. A. Vavilov, S. S. Sinchuk, “Overgroups of $E(m,R)\otimes E(n,R)$”, J. Math. Sci. (N. Y.), 161:4 (2009), 461–473  mathnet  crossref  elib  scopus
44. N. A. Vavilov, “Numerology of square equations”, St. Petersburg Math. J., 20:5 (2009), 687–707  mathnet  crossref  mathscinet  zmath  isi
45. N. A. Vavilov, S. I. Nikolenko, “$\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$”, St. Petersburg Math. J., 20:4 (2009), 527–551  mathnet  crossref  mathscinet  zmath  isi  elib
46. N. Vavilov, “Weight elements of Chevalley groups”, St. Petersburg Math. J., 20:1 (2009), 23–57  mathnet  crossref  mathscinet  zmath  isi  elib

   2008
47. N. A. Vavilov, V. V. Nesterov, “Geometry of microweight tori”, Vladikavkaz. Mat. Zh., 10:1 (2008), 10–23  mathnet  mathscinet  elib
48. N. A. Vavilov, A. Yu. Luzgarev, “The normalizer of Chevalley groups of type $\mathrm{E}_6$”, St. Petersburg Math. J., 19:5 (2008), 699–718  mathnet  crossref  mathscinet  zmath  isi
49. N. A. Vavilov, “Can one see the signs of structure constants?”, St. Petersburg Math. J., 19:4 (2008), 519–543  mathnet  crossref  mathscinet  zmath  isi
50. N. Vavilov, “Geometry of 1-tori in $\mathrm{GL}(n,T)$”, St. Petersburg Math. J., 19:3 (2008), 407–429  mathnet  crossref  mathscinet  zmath  isi  elib
51. N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(n,R)$”, St. Petersburg Math. J., 19:2 (2008), 167–195  mathnet  crossref  mathscinet  zmath  isi  elib
52. N. A. Vavilov, A. K. Stavrova, “Basic reductions for the description of normal subgroups”, J. Math. Sci. (N. Y.), 151:3 (2008), 2949–2960  mathnet  crossref  elib  elib  scopus
53. N. A. Vavilov, “On subgroups of symplectic group containing a subsystem subgroup”, J. Math. Sci. (N. Y.), 151:3 (2008), 2937–2948  mathnet  crossref  mathscinet  elib  elib  scopus

   2007
54. N. A. Vavilov, I. M. Pevzner, “Triples of long root subgroups”, J. Math. Sci. (N. Y.), 147:5 (2007), 7005–7020  mathnet  crossref  mathscinet  elib  elib  scopus
55. N. A. Vavilov, “Subgroups of $\operatorname{SL}_n$ over a semilocal ring”, J. Math. Sci. (N. Y.), 147:5 (2007), 6995–7004  mathnet  crossref  mathscinet  elib  elib  scopus
56. N. A. Vavilov, N. P. Kharchev, “Orbits of subsystem stabilisers”, J. Math. Sci. (N. Y.), 145:1 (2007), 4751–4764  mathnet  crossref  mathscinet  zmath  elib  scopus
57. N. A. Vavilov, E. Ya. Perelman, “Polyvector representations of $\operatorname{GL}_n$”, J. Math. Sci. (N. Y.), 145:1 (2007), 4737–4750  mathnet  crossref  mathscinet  zmath  scopus
58. N. A. Vavilov, A. Yu. Luzgarev, I. M. Pevzner, “Chevalley group of type $\mathrm E_6$ in the 27-dimensional representation”, J. Math. Sci. (N. Y.), 145:1 (2007), 4697–4736  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
59. N. A. Vavilov, M. R. Gavrilovich, S. I. Nikolenko, “Structure of Chevalley groups: the proof from the Book”, J. Math. Sci. (N. Y.), 140:5 (2007), 626–645  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2005
60. N. A. Vavilov, M. R. Gavrilovich, “An $\mathrm{A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm{E}_6$ and $\mathrm{E}_7$”, St. Petersburg Math. J., 16:4 (2005), 649–672  mathnet  crossref  mathscinet  zmath

   2004
61. N. A. Vavilov, V. A. Petrov, “Overgroups of elementary symplectic groups”, St. Petersburg Math. J., 15:4 (2004), 515–543  mathnet  crossref  mathscinet  zmath
62. N. A. Vavilov, V. A. Petrov, “Variations on a theme of Higman”, J. Math. Sci. (N. Y.), 124:1 (2004), 4708–4710  mathnet  crossref  mathscinet  zmath
63. N. A. Vavilov, “Subgroups of the spinor group containing a split maximal torus. II”, J. Math. Sci. (N. Y.), 124:1 (2004), 4698–4707  mathnet  crossref  mathscinet  zmath
64. J. Math. Sci. (N. Y.), 120:4 (2004), 1513–1548  mathnet  crossref  mathscinet  zmath
65. N. A. Vavilov, “Subgroups of split orthogonal groups over a commutative ring”, J. Math. Sci. (N. Y.), 120:4 (2004), 1501–1512  mathnet  crossref  mathscinet  zmath

   2003
66. N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(2l,R)$”, J. Math. Sci. (N. Y.), 116:1 (2003), 2917–2925  mathnet  crossref  mathscinet  zmath
67. N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, B. B. Lur'e, A. S. Merkur'ev, V. V. Ishkhanov, I. A. Panin, A. I. Skopin, A. A. Suslin, “Anatolii Vladimirovich Yakovlev”, J. Math. Sci. (N. Y.), 116:1 (2003), 2883–2886  mathnet  crossref  mathscinet  zmath

   2002
68. N. A. Vavilov, “Subgroups of the split orthogonal group. II”, J. Math. Sci. (New York), 112:3 (2002), 4266–4276  mathnet  crossref  mathscinet  zmath

   1999
69. N. A. Vavilov, V. I. Mysovskikh, Yu. G. Teterin, “Computational Group Theory in St. Petersburg”, J. Math. Sci. (New York), 95:2 (1999), 2070–2073  mathnet  crossref  mathscinet  zmath

   1995
70. N. A. Vavilov, A. A. Semenov, “Long root semisimple elements in Chevalley groups”, Dokl. Math., 50:2 (1995), 325–329  mathnet  mathscinet  zmath

   1993
71. N. A. Vavilov, “Unipotent elements in subgroups of extended Chevalley groups that contain a split maximal torus”, Dokl. Math., 47:1 (1993), 112–116  mathnet  mathscinet  zmath
72. N. A. Vavilov, “On subgroups of the spinorial group containing a split maximal torus. I”, J. Soviet Math., 63:6 (1993), 638–652  mathnet  crossref  mathscinet  zmath

   1991
73. N. A. Vavilov, “Subgroups of splittable classical groups”, Proc. Steklov Inst. Math., 183 (1991), 27–41  mathnet  mathscinet  zmath

   1990
74. N. A. Vavilov, E. B. Plotkin, A. V. Stepanov, “Calculations in Chevalley groups over commutative rings”, Dokl. Math., 40:1 (1990), 145–147  mathnet  mathscinet  zmath

   1989
75. N. A. Vavilov, I. Khamdan, “Subgroups of the general linear group over a local field”, Soviet Math. (Iz. VUZ), 33:12 (1989), 7–15  mathnet  mathscinet  zmath
76. N. A. Vavilov, A. V. Stepanov, “Subgroups of the general linear group over a ring that satisfies stability conditions”, Soviet Math. (Iz. VUZ), 33:10 (1989), 23–31  mathnet  mathscinet  zmath
77. N. A. Vavilov, “Linear groups generated by one-parameter groups of one-dimensional transformations”, Russian Math. Surveys, 44:1 (1989), 265–266  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1991
78. N. A. Vavilov, A. A. Semjonov, “Bruhat decomposition for long root tori in Chevalley groups”, J. Soviet Math., 57:6 (1991), 3453–3458  mathnet  crossref  mathscinet  zmath

   1988
79. N. A. Vavilov, “The structure of split classical groups over a commutative ring”, Dokl. Math., 37:2 (1988), 550–553  mathnet  mathscinet  zmath
80. N. A. Vavilov, “Conjugacy theorems for subgroups of extended Chevalley groups that contain split maximal tori”, Dokl. Math., 37:2 (1988), 360–363  mathnet  mathscinet  zmath
81. N. A. Vavilov, “Weight elements of Chevalley groups”, Dokl. Math., 37:1 (1988), 92–95  mathnet  mathscinet  zmath
82. N. A. Vavilov, “Subgroups of split orthogonal groups over a ring”, Siberian Math. J., 29:4 (1988), 537–547  mathnet  crossref  mathscinet  zmath  isi
83. N. A. Vavilov, “Subgroups of split orthogonal groups”, Siberian Math. J., 29:3 (1988), 341–352  mathnet  crossref  mathscinet  zmath  isi

   1987
84. N. A. Vavilov, “Subgroups of the general linear group over a Dedekind ring of arithmetic type”, Soviet Math. (Iz. VUZ), 31:12 (1987), 16–24  mathnet  mathscinet  zmath

   1985
85. Z. I. Borevich, N. A. Vavilov, “Arrangement of subgroups in the general linear group over a commutative ring”, Proc. Steklov Inst. Math., 165 (1985), 27–46  mathnet  mathscinet  zmath

   1983
86. N. A. Vavilov, E. V. Dybkova, “Subgroups of the general symplectic group, containing the group of diagonal matrices. II”, Modules and algebraic groups. Part 2, Zap. Nauchn. Sem. LOMI, 132, “Nauka”, Leningrad. Otdel., Leningrad, 1983, 44–56  mathnet  mathscinet
87. Z. I. Borevich, N. A. Vavilov, “On definition of the net subgroup”, Modules and algebraic groups. Part 2, Zap. Nauchn. Sem. LOMI, 132, “Nauka”, Leningrad. Otdel., Leningrad, 1983, 26–33  mathnet  mathscinet  zmath

   1982
88. Z. I. Borevich, N. A. Vavilov, “On the subgroups of the full linear group over a commutative ring”, Dokl. Akad. Nauk SSSR, 267:4 (1982), 777–778  mathnet  mathscinet  zmath
89. Z. I. Borevich, N. A. Vavilov, “Arrangement of subgroups containing a group of block diagonal matrices in the general linear group over a ring”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 11, 12–16  mathnet  mathscinet  zmath
90. N. A. Vavilov, “On subgroups of the unitary group over a semilocal ring”, Russian Math. Surveys, 37:4 (1982), 145–146  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1984
91. N. A. Vavilov, “Parabolic subgroups of Chevalley groups over a commutative ring”, J. Soviet Math., 26:3 (1984), 1848–1860  mathnet  crossref  mathscinet  zmath
92. Z. I. Borevich, N. A. Vavilov, “Net determinant over a Bezoutian local ring”, J. Soviet Math., 26:3 (1984), 1839–1844  mathnet  crossref  mathscinet  zmath
93. N. A. Vavilov, E. B. Plotkin, “Net subgroups of Chevalley groups. II. Gauss decomposition”, J. Soviet Math., 27:4 (1984), 2874–2885  mathnet  crossref  mathscinet  zmath
94. N. A. Vavilov, “A Bruhat decomposition for subgroups containing the group of diagonal matrices. II”, J. Soviet Math., 27:4 (1984), 2865–2874  mathnet  crossref  mathscinet  zmath
95. Z. I. Borevich, N. A. Vavilov, “Determinants in net subgroups”, J. Soviet Math., 27:4 (1984), 2855–2865  mathnet  crossref  mathscinet  zmath
96. N. A. Vavilov, E. V. Dybkova, “Subgroups of the general symplectic group containing the group of diagonal matrices”, J. Soviet Math., 24:4 (1984), 406–416  mathnet  crossref  mathscinet  zmath
97. N. A. Vavilov, “Bruhat decomposition for subgroups containing the group of diagonal matrices”, J. Soviet Math., 24:4 (1984), 399–406  mathnet  crossref  mathscinet  zmath

   1982
98. N. A. Vavilov, E. B. Plotkin, “Net subgroups of Chevalley groups”, J. Soviet Math., 19:1 (1982), 1000–1006  mathnet  crossref  mathscinet  zmath
99. N. A. Vavilov, L. Yu. Kolotilina, “Normal structure of the full linear group over a semilocal ring”, J. Soviet Math., 19:1 (1982), 998–999  mathnet  crossref  mathscinet  zmath
100. N. A. Vavilov, “Parabolic subgroups of twisted Chevalley groups over a semilocal ring”, J. Soviet Math., 19:1 (1982), 987–998  mathnet  crossref  mathscinet  zmath
101. Z. I. Borevich, N. A. Vavilov, V. Narkevich, “Subgroups of the full linear group over a Dedekind ring”, J. Soviet Math., 19:1 (1982), 982–987  mathnet  crossref  mathscinet  zmath

   1981
102. N. A. Vavilov, “Self-normalizing nilpotent subgroups of the full linear group over a finite field”, J. Soviet Math., 17:4 (1981), 1963–1967  mathnet  crossref  mathscinet  zmath
103. N. A. Vavilov, “Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices”, J. Soviet Math., 17:4 (1981), 1960–1963  mathnet  crossref  mathscinet  zmath

   1980
104. Z. I. Borevich, N. A. Vavilov, “Subgroups of the general linear group over a semilocal ring that contain a group of diagonal matrices”, Proc. Steklov Inst. Math., 148 (1980), 41–54  mathnet  mathscinet  zmath

   1987
105. N. A. Vavilov, “Parabolic subgroups of Chevalley groups over a semilocal ring”, J. Soviet Math., 37:2 (1987), 942–952  mathnet  crossref  mathscinet  zmath
106. Z. I. Borevich, N. A. Vavilov, “Subgroups of the full linear group over a semilocal ring”, J. Soviet Math., 37:2 (1987), 935–937  mathnet  crossref  mathscinet  zmath

   1982
107. N. A. Vavilov, “Parabolic subgroups of the general linear group over Dedekind domain of arithmetic type”, J. Soviet Math., 20:6 (1982), 2546–2555  mathnet  crossref  mathscinet  zmath

   1981
108. N. A. Vavilov, “Parabolic congruence subgroups in linear groups”, J. Soviet Math., 17:2 (1981), 1748–1754  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. Fermat numbers and cyclotomy
N. A. Vavilov
Seminar on the History of Mathematics
April 6, 2023 18:00   
2. Bounded generation of Chevalley groups and Steinberg groups (based on joint work with B. Kunyavskii, A. Lavrenov, and E. Plotkin)
N. A. Vavilov
Shafarevich Seminar
March 21, 2023 15:00   
3. Musings around the "easier" Waring problem
N. A. Vavilov
Seminar on the History of Mathematics
October 6, 2022 18:00   
4. Bounded generation of Chevalley groups, and around
N. A. Vavilov
International Conference "Advances in Algebra and Applications"
June 23, 2022 14:30   
5. Bounded elementary generation of Chevalley groups
N. A. Vavilov
Joint Mathematical seminar of Saint Petersburg State University and Peking University
June 16, 2022 15:00
6. Who solved Goldbach problem?
N. A. Vavilov
Seminar on the History of Mathematics
September 16, 2021 18:00   
7. Who has solved Waring's problem?
N. A. Vavilov
Seminar on the History of Mathematics
February 25, 2021 18:00   
8. Reverse decomposition of unipotents
N. Vavilov
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 15, 2017 10:00   
9. Structure and K-theory of Chevalley groups over rings
N. A. Vavilov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
June 16, 2016 14:00   
10. Higher composition laws and exceptional groups
N. A. Vavilov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
April 13, 2016 14:00
11. Structure of isotropic reductive groups
N. A. Vavilov
Algebraic Geometry and Number Theory
June 24, 2014 12:30   
12. New computation methods in exceptional Chevalley groups
N. A. Vavilov
Lie groups and invariant theory
October 24, 2012 16:45
13. Higher composition laws and exceptonal groups
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
May 25, 2010
14. Mathematical proof: yesterday, today, tomorrow
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
March 23, 2010   
15. Конструкции исключительных групп
Nikolay Vavilov
Homology and homotopy methods in geometry
February 17, 2010
16. Строение изотропных редуктивных групп
N. A. Vavilov
Seminar by Algebra Department
February 16, 2010 15:00
17. Высшие законы композиции и исключительные группы
N. A. Vavilov
Meetings of the Moscow Mathematical Society
February 16, 2010
18. Строение исключительных групп над кольцами
N. A. Vavilov
Lie groups and invariant theory
December 24, 2008
19. Calculations in exceptional groups
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
November 13, 2007
20. Соединить идеи с вычислениями. От Эйлера до компьютерной алгебры
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
May 16, 2007
21. The $(1+\epsilon)$-generation of finite simple groups and Hurwitz groups
N. A. Vavilov
Meetings of the St. Petersburg Mathematical Society
October 5, 1999

Books in Math-Net.Ru
  1. Problems in the theory of representations of algebras and groups. Part 39, Zap. Nauchn. Sem. POMI, 522, ed. N. A. Vavilov, A. I. Generalov, I. N. Ponomarenko, 2023, 166 с.
    http://mi.mathnet.ru/book1978
  2. Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, ed. N. A. Vavilov, A. I. Generalov, I. N. Ponomarenko, 2022, 230 с.
    http://mi.mathnet.ru/book1940
  3. Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, ed. N. A. Vavilov, A. I. Generalov, I. N. Ponomarenko, 2021, 216 с.
    http://mi.mathnet.ru/book1885
  4. Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 492, ed. N. A. Vavilov, A. I. Generalov, 2020, 160 с.
    http://mi.mathnet.ru/book1843
  5. Problems in the theory of representations of algebras and groups. Part 34, Zap. Nauchn. Sem. POMI, 478, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2019, 214 с.
    http://mi.mathnet.ru/book1809
  6. Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 484, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2019, 190 с.
    http://mi.mathnet.ru/book1815
  7. Problems in the theory of representations of algebras and groups. Part 33, Zap. Nauchn. Sem. POMI, 470, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2018, 198 с.
    http://mi.mathnet.ru/book1752
  8. Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2017, 230 с.
    http://mi.mathnet.ru/book1687
  9. Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2017, 206 с.
    http://mi.mathnet.ru/book1705
  10. Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2016, 238 с.
    http://mi.mathnet.ru/book1619
  11. Problems in the theory of representations of algebras and groups. Part 30, Zap. Nauchn. Sem. POMI, 452, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2016, 241 с.
    http://mi.mathnet.ru/book1647
  12. Problems in the theory of representations of algebras and groups. Part 28, Zap. Nauchn. Sem. POMI, 435, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2015, 180 с.
    http://mi.mathnet.ru/book1598
  13. Problems in the theory of representations of algebras and groups. Part 26, Zap. Nauchn. Sem. POMI, 423, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2014, 280 с.
    http://mi.mathnet.ru/book1563
  14. Problems in the theory of representations of algebras and groups. Part 27, Zap. Nauchn. Sem. POMI, 430, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2014, 236 с.
    http://mi.mathnet.ru/book1571
  15. Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2013, 231 с.
    http://mi.mathnet.ru/book1487
  16. Problems in the theory of representations of algebras and groups. Part 23, Zap. Nauchn. Sem. POMI, 400, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2012, 251 с.
    http://mi.mathnet.ru/book1477
  17. Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2011, 290 с.
    http://mi.mathnet.ru/book1343
  18. Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2011, 313 с.
    http://mi.mathnet.ru/book1353
  19. Problems in the theory of representations of algebras and groups. Part 22, Zap. Nauchn. Sem. POMI, 394, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2011, 297 с.
    http://mi.mathnet.ru/book1367
  20. Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2010, 212 с.
    http://mi.mathnet.ru/book1254
  21. Problems in the theory of representations of algebras and groups. Part 18, Zap. Nauchn. Sem. POMI, 365, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2009, 266 с.
    http://mi.mathnet.ru/book1014
  22. Problems in the theory of representations of algebras and groups. Part 17, Zap. Nauchn. Sem. POMI, 356, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2008, 191 с.
    http://mi.mathnet.ru/book668
  23. Problems in the theory of representations of algebras and groups. Part 15, Zap. Nauchn. Sem. POMI, 343, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2007, 276 с.
    http://mi.mathnet.ru/book435
  24. Problems in the theory of representations of algebras and groups. Part 16, Zap. Nauchn. Sem. POMI, 349, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2007, 245 с.
    http://mi.mathnet.ru/book441
  25. Problems in the theory of representations of algebras and groups. Part 13, Zap. Nauchn. Sem. POMI, 330, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2006
    http://mi.mathnet.ru/book422
  26. Problems in the theory of representations of algebras and groups. Part 14, Zap. Nauchn. Sem. POMI, 338, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2006
    http://mi.mathnet.ru/book430
  27. Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2005
    http://mi.mathnet.ru/book413
  28. Problems in the theory of representations of algebras and groups. Part 11, Zap. Nauchn. Sem. POMI, 319, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2004
    http://mi.mathnet.ru/book411
  29. Problems in the theory of representations of algebras and groups. Part 10, Zap. Nauchn. Sem. POMI, 305, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2003
    http://mi.mathnet.ru/book398
  30. Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2002
    http://mi.mathnet.ru/book382
  31. Problems in the theory of representations of algebras and groups. Part 8, Zap. Nauchn. Sem. POMI, 281, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, 2001
    http://mi.mathnet.ru/book374
  32. Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, ed. N. A. Vavilov, A. I. Generalov, B. B. Lur'e, I. A. Panin, 2000
    http://mi.mathnet.ru/book365

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