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Rapinchuk, Andrei Stepanovich
Website: https://math.virginia.edu/people/asr3x/

https://www.mathnet.ru/eng/person19638
https://scholar.google.com/citations?user=hCebIxNuw8cC&hl=en
https://mathscinet.ams.org/mathscinet/MRAuthorID/206801

Publications in Math-Net.Ru Citations
2017
1. G. Prasad, A. S. Rapinchuk, “Generic elements of a Zariski-dense subgroup form an open subset”, Tr. Mosk. Mat. Obs., 78:2 (2017),  357–375  mathnet  elib; Trans. Moscow Math. Soc., 78 (2017), 299–314  scopus 4
2016
2. Gopal Prasad, Andrei S. Rapinchuk, “On the congruence kernel for simple algebraic groups”, Trudy Mat. Inst. Steklova, 292 (2016),  224–254  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 292 (2016), 216–246  isi  scopus 5
3. Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk, “On the size of the genus of a division algebra”, Trudy Mat. Inst. Steklova, 292 (2016),  69–99  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 292 (2016), 63–93  isi  scopus 12
2015
4. V. I. Chernousov, A. S. Rapinchuk, I. A. Rapinchuk, “Division algebras with the same maximal subfields”, Uspekhi Mat. Nauk, 70:1(421) (2015),  89–122  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:1 (2015), 83–112  isi  scopus 11
1993
5. A. S. Rapinchuk, V. V. Benyash-Krivets, “Geometric theory of representations for fundamental groups of compact oriented surfaces”, Dokl. Akad. Nauk, 329:2 (1993),  140–143  mathnet  mathscinet  zmath; Dokl. Math., 47:2 (1993), 211–215
1992
6. V. P. Platonov, A. S. Rapinchuk, “Abstract properties of $S$-arithmetic groups and the congruence s problem”, Izv. RAN. Ser. Mat., 56:3 (1992),  483–508  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 40:3 (1993), 455–476  isi 14
7. V. P. Platonov, A. S. Rapinchuk, “Algebraic groups and number theory”, Uspekhi Mat. Nauk, 47:2(284) (1992),  117–141  mathnet  zmath; Russian Math. Surveys, 47:2 (1992), 133–161  isi 14
1991
8. V. P. Platonov, A. S. Rapinchuk, “Abstract characterizations of arithmetic groups with the congruence property”, Dokl. Akad. Nauk SSSR, 319:6 (1991),  1322–1327  mathnet  mathscinet  zmath; Dokl. Math., 44:1 (1992), 342–347 2
1990
9. A. S. Rapinchuk, “Representations of groups of finite width”, Dokl. Akad. Nauk SSSR, 315:3 (1990),  536–540  mathnet  mathscinet  zmath; Dokl. Math., 42:3 (1991), 816–820
10. A. S. Rapinchuk, “The congruence subgroup problem for arithmetic groups of bounded generation”, Dokl. Akad. Nauk SSSR, 314:6 (1990),  1327–1331  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 664–668 1
1989
11. A. S. Rapinchuk, “On the congruence subgroup problem for algebraic groups”, Dokl. Akad. Nauk SSSR, 306:6 (1989),  1304–1307  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 618–621 1
12. V. P. Platonov, A. S. Rapinchuk, “The structure of groups of rational points of classical algebraic groups over number fields”, Sibirsk. Mat. Zh., 30:6 (1989),  172–187  mathnet  mathscinet  zmath; Siberian Math. J., 30:6 (1989), 980–993  isi 1
1987
13. A. S. Rapinchuk, “Multiplicative arithmetic of division algebras over number fields, and the metaplectic problem”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987),  1033–1064  mathnet  mathscinet  zmath; Math. USSR-Izv., 31:2 (1988), 349–379 4
1984
14. V. P. Platonov, A. S. Rapinchuk, “Multiplicative structure of division algebras over number fields and the Hasse norm principle”, Trudy Mat. Inst. Steklov., 165 (1984),  171–187  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 165 (1985), 187–205 13
1983
15. V. P. Platonov, S. A. Rapinchuk, “Algebraic groups”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 21 (1983),  80–134  mathnet  mathscinet  zmath; J. Soviet Math., 31:3 (1985), 2939–2973 4
1982
16. V. P. Platonov, A. S. Rapinchuk, “The multiplicative structure of division rings over number fields, and the Hasse principle”, Dokl. Akad. Nauk SSSR, 266:3 (1982),  560–564  mathnet  mathscinet  zmath 1
1981
17. A. S. Rapinchuk, “Class numbers in the genus of quadratic forms, and algebraic groups”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981),  775–792  mathnet  mathscinet  zmath; Math. USSR-Izv., 19:1 (1982), 79–93
1980
18. V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class numbers and groups of algebraic groups. II”, Izv. Akad. Nauk SSSR Ser. Mat., 44:2 (1980),  395–414  mathnet  mathscinet  zmath; Math. USSR-Izv., 16:2 (1981), 357–372  isi 4
1979
19. V. P. Platonov, A. S. Rapinchuk, “On the group of rational points of three-dimensional groups”, Dokl. Akad. Nauk SSSR, 247:2 (1979),  279–282  mathnet  mathscinet  zmath 4
20. V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class number of algebraic groups”, Dokl. Akad. Nauk SSSR, 245:1 (1979),  28–31  mathnet  mathscinet  zmath 3
21. V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk, “Class numbers and groups of algebraic groups”, Izv. Akad. Nauk SSSR Ser. Mat., 43:3 (1979),  603–627  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:3 (1980), 547–569  isi 6
2015
22. S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zel'manov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (to the 75 anniversary since the birth of)”, Chebyshevskii Sb., 16:4 (2015),  6–10  mathnet
23. S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zelmanov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (on his 75th birthday)”, Uspekhi Mat. Nauk, 70:1(421) (2015),  204–207  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:1 (2015), 197–201  isi
2010
24. V. V. Benyash-Krivets, A. B. Zhizhchenko, E. I. Zel'manov, A. A. Mal'tsev, G. A. Margulis, S. P. Novikov, Yu. S. Osipov, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, “Vladimir Petrovich Platonov (on his 70th birthday)”, Uspekhi Mat. Nauk, 65:3(393) (2010),  203–206  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:3 (2010), 593–596  isi
2000
25. S. I. Adian, E. I. Zel'manov, G. A. Margulis, S. P. Novikov, A. S. Rapinchuk, L. D. Faddeev, V. I. Yanchevskii, “Vladimir Petrovich Platonov (on his 60th birthday)”, Uspekhi Mat. Nauk, 55:3(333) (2000),  197–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:3 (2000), 601–610  isi

Presentations in Math-Net.Ru
1. Linear algebraic groups with good reduction and the genus problem
A. S. Rapinchuk
International Conference "Advances in Algebra and Applications"
June 25, 2022 15:50   

Organisations
 
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