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Rapinchuk, Andrei S.

Author ID: rapinchuk.andrei-s Recent zbMATH articles by "Rapinchuk, Andrei S."
Published as: Rapinchuk, A. S.; Rapinchuk, Andrei S.; Rapinchuk, Andrei; Rapinchuk, A.; Rapincuk, A. S.
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Serials

7 Doklady Akademii Nauk BSSR
7 Soviet Mathematics. Doklady
5 Russian Mathematical Surveys
4 Manuscripta Mathematica
4 Mathematics of the USSR. Izvestiya
4 Proceedings of the American Mathematical Society
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Number Theory
3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
3 Mathematical Research Letters
3 Proceedings of the Steklov Institute of Mathematics
2 Israel Journal of Mathematics
2 Advances in Mathematics
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Journal of Algebra
2 IMRN. International Mathematics Research Notices
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Algebra & Number Theory
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Geometriae Dedicata
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Journal of the American Mathematical Society
1 Doklady Akademii Nauk Belarusi
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Russian Academy of Sciences. Izvestiya. Mathematics
1 Russian Academy of Sciences. Doklady. Mathematics
1 Geometry & Topology
1 Chebyshevskiĭ Sbornik
1 Cambridge Studies in Advanced Mathematics
1 Pure and Applied Mathematics (Academic Press)
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Translations. Series 2. American Mathematical Society
1 Groups, Geometry, and Dynamics
1 Bulletin of Mathematical Sciences
1 Research in the Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 1,051 times in 734 Documents Cited by Year
Algebraic groups and number theory. Transl. from the Russian by Rachel Rowen. Zbl 0841.20046
Platonov, Vladimir; Rapinchuk, Andrei
332
1994
Algebraic groups and number theory. Zbl 0806.11002
Platonov, V. P.; Rapinchuk, A. S.
127
1992
Algebraic groups and number theory. (Алгебраические группы и теория чисел.) Zbl 0732.20027
Platonov, V. P.; Rapinchuk, A. S.
62
1991
Weakly commensurable arithmetic groups and isospectral locally symmetric spaces. Zbl 1176.22011
Prasad, Gopal; Rapinchuk, Andrei S.
40
2009
Computation of the metaplectic kernel. Zbl 0941.22019
Prasad, Gopal; Rapinchuk, Andrei S.
28
1996
Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable. Zbl 1008.16018
Rapinchuk, Andrei S.; Segev, Yoav; Seitz, Gary M.
28
2002
Representation varieties of the fundamental groups of compact orientable surfaces. Zbl 0857.14012
Rapinchuk, A. S.; Benyash-Krivetz, V. V.; Chernousov, V. I.
25
1996
Existence of irreducible \(\mathbb R\)-regular elements in Zariski-dense subgroups. Zbl 1029.22020
Prasad, Gopal; Rapinchuk, Andrei S.
24
2003
On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior. Zbl 1132.20024
Prasad, Gopal; Rapinchuk, Andrei S.
17
2006
Local-global principles for embedding of fields with involution into simple algebras with involution. Zbl 1223.11047
Prasad, Gopal; Rapinchuk, Andrei S.
16
2010
Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields. Zbl 1168.20020
Erovenko, Igor V.; Rapinchuk, Andrei S.
15
2006
Abstract properties of \(S\)-arithmetic groups and the congruence problem. Zbl 0785.20025
Platonov, V. P.; Rapinchuk, A. S.
15
1992
Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk. Zbl 1278.57020
Funar, Louis
15
2013
Bounded generation of \(\mathrm{SL}_2\) over rings of \(S\)-integers with infinitely many units. Zbl 1448.11198
Morgan, Aleksander; Rapinchuk, Andrei; Sury, Balasubramanian
13
2018
The congruence subgroup property for \(\operatorname{Aut} F_2\): a group-theoretic proof of Asada’s theorem. Zbl 1251.20035
Bux, Kai-Uwe; Ershov, Mikhail V.; Rapinchuk, Andrei S.
12
2011
Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces. Zbl 1347.20053
Prasad, Gopal; Rapinchuk, Andrei S.
12
2014
Strong approximation for algebraic groups. Zbl 1341.20042
Rapinchuk, Andrei S.
12
2014
On division algebras having the same maximal subfields. Zbl 1205.16015
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
12
2010
Valuation-like maps and the congruence subgroup property. Zbl 0999.16016
Rapinchuk, Andrei S.; Segev, Yoav
11
2001
Spinor groups with good reduction. Zbl 1443.11031
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
11
2019
The genus of a division algebra and the unramified Brauer group. Zbl 1293.16015
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
11
2013
Irreducible tori in semisimple groups. Zbl 1057.22025
Prasad, Gopal; Rapinchuk, Andrei S.
10
2001
Bounded generation of some \(S\)-arithmetic orthogonal groups. Zbl 1010.20033
Erovenko, Igor V.; Rapinchuk, Andrei S.
9
2001
On the size of the genus of a division algebra. Zbl 1356.16013
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
9
2016
Division algebras with the same maximal subfields. Zbl 1325.12006
Chernousov, V. I.; Rapinchuk, A. S.; Rapinchuk, I. A.
9
2015
On some finiteness properties of algebraic groups over finitely generated fields. (Sur quelques propriétés de finitude des groupes algébriques sur des corps de type fini.) Zbl 1376.14049
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
9
2016
Zariski-dense subgroups and transcendental number theory. Zbl 1072.22009
Prasad, Gopal; Rapinchuk, Andrei S.
8
2005
The congruence problem for arithmetic groups of finite width. Zbl 0745.20043
Rapinchuk, A. S.
8
1990
Congruence subgroup problem for algebraic groups: Old and new. Zbl 0805.20040
Rapinchuk, A. S.
8
1992
The finiteness of the genus of a finite-dimensional division algebra, and some generalizations. Zbl 1467.16018
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
8
2020
The multinorm principle for linearly disjoint Galois extensions. Zbl 1309.11078
Pollio, Timothy P.; Rapinchuk, Andrei S.
8
2013
On the group of rational points of three-dimensional groups. Zbl 0431.12012
Platonov, V. P.; Rapinchuk, A. S.
7
1979
On the genus of a division algebra. Zbl 1272.16020
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
7
2012
Low-dimensional linear representations of \(\operatorname{Aut} F_n\), \(n\geq 3\). Zbl 0942.20002
Potapchik, A.; Rapinchuk, A.
6
2000
On \(SS\)-rigid groups and A. Weil’s criterion for local rigidity. I. Zbl 0920.20004
Rapinchuk, A. S.
6
1998
Normal subgroups of \(SL_{1,D}\) and the classification of finite simple groups. Zbl 0879.20027
Rapinchuk, Andrei; Potapchik, Alexander
6
1996
Weakly commensurable \(S\)-arithmetic subgroups in almost simple algebraic groups of types B and C. Zbl 1285.20045
Garibaldi, Skip; Rapinchuk, Andrei
6
2013
Non-virtually abelian anisotropic linear groups are not boundedly generated. Zbl 1491.11045
Corvaja, Pietro; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
6
2022
The congruence subgroup problem. Zbl 1125.20313
Rapinchuk, A. S.
5
1999
Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank \(> 1\) over Noetherian rings. Zbl 1232.19001
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
5
2011
Generic elements of a Zariski-dense subgroup form an open subset. Zbl 1423.22015
Prasad, G.; Rapinchuk, A. S.
5
2017
Multiplicative arithmetic of division algebras over number fields, and the metaplectic problem. Zbl 0678.20031
Rapinchuk, A. S.
4
1988
Multiplicative structure of skew fields over number fields and Hasse norm principle. Zbl 0559.12010
Platonov, V. P.; Rapinchuk, A. S.
4
1984
On abstract homomorphisms of Chevalley groups with nonreductive image. I. Zbl 0987.20025
Lifschitz, L.; Rapinchuk, A.
4
2001
On the finite dimensional unitary representations of Kazhdan groups. Zbl 0926.22001
Rapinchuk, A.
4
1999
Subnormal subgroups of the groups of rational points of reductive algebraic groups. Zbl 1007.20043
Prasad, Gopal; Rapinchuk, Andrei S.
4
2002
The congruence subgroup problem for algebraic groups. Zbl 0725.20034
Rapinchuk, A.
4
1990
On the fields generated by the lengths of closed geodesics in locally symmetric spaces. Zbl 1308.53077
Prasad, Gopal; Rapinchuk, Andrei S.
4
2014
Towards the eigenvalue rigidity of Zariski-dense subgroups. Zbl 1373.20063
Rapinchuk, Andrei S.
4
2014
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. Zbl 1489.11059
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
4
2022
The congruence problem for algebraic groups and strong approximations in affine varieties. Zbl 0661.20034
Rapinchuk, A. S.
3
1988
The multiplicative structure of division rings over number fields, and the Hasse principle. Zbl 0516.20029
Platonov, V. P.; Rapinchuk, A. S.
3
1982
On the congruence problem for algebraic groups. Zbl 0692.20033
Rapinchuk, A. S.
3
1989
Algebraic groups. Zbl 0564.20023
Platonov, V. P.; Rapinchuk, A. S.
3
1983
The Margulis-Platonov conjecture for \(\text{SL}_{1,D}\) and 2-generation of finite simple groups. Zbl 1101.20027
Rapinchuk, Andrei S.
3
2006
Class number of algebraic groups. Zbl 0425.20038
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
3
1979
The geometric theory of representations for the fundamental groups of compact oriented surfaces. Zbl 0840.20031
Rapinchuk, A. S.; Benyash-Krivets, V. V.
3
1993
On the congruence kernel for simple algebraic groups. Zbl 1356.20031
Prasad, Gopal; Rapinchuk, Andrei S.
3
2016
Linear algebraic groups with good reduction. Zbl 1466.20032
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
3
2020
Associative algebras. (Assotsiativnye algebry). Transl. from the English by A. S. Rapinchuk and V. I. Yanchevskij. Transl. ed. and with a preface by A. E. Zalesskij. Zbl 0671.16001
Pierce, Richard S.
2
1986
The Hasse principle for symmetric spaces. Zbl 0679.14027
Rapinchuk, A. S.
2
1987
Platonov’s conjecture on the genus in arithmetic groups. Zbl 0477.20027
Rapinchuk, A. S.
2
1981
Number-theoretic techniques in the theory of Lie groups and differential geometry. Zbl 1209.22006
Prasad, Gopal; Rapinchuk, Andrei S.
2
2010
Representations of groups of finite width. Zbl 0777.20014
Rapinchuk, A. S.
2
1990
Multiplicative arithmetic of division algebras over number fields and the metaplectic problem. Zbl 0631.20034
Rapinchuk, A. S.
1
1987
Nonabelian free subgroups in homomorphic images of valued quaternion division algebras. Zbl 1117.16007
Rapinchuk, Andrei S.; Rowen, Louis; Segev, Yoav
1
2006
\(n\)-dimensional linear representations of \(\operatorname{Aut} F_ n\), and more. Zbl 0891.20024
Rapinchuk, Andrei S.
1
1997
Class numbers in the genus of quadratic forms and algebraic groups. Zbl 0473.20032
Rapinchuk, A. S.
1
1981
Erratum: Irreducible tori in semisimple groups. Zbl 1099.22501
Prasad, Gopal; Rapinchuk, Andrei S.
1
2002
On the estimation of the number of double classes of adele groups of algebraic groups. Zbl 0393.20031
Bondarenko, A. A.; Rapincuk, A. S.
1
1978
Class numbers and groups of algebraic groups. Zbl 0448.20045
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
1
1980
Klassenzahlen und Klassengruppen algebraischer Gruppen. II. Zbl 0453.20033
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
1
1980
Class numbers and groups of algebraic groups. II. Zbl 0464.20031
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
1
1981
Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties. Zbl 07780910
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
1
2023
Bounded generation by semi-simple elements: quantitative results. (Engendrement borné par éléments semi-simples: résultats quantitatifs.) Zbl 1519.11016
Corvaja, Pietro; Demeio, Julian L.; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
1
2022
Finiteness theorems for algebraic tori over function fields. Zbl 1473.14093
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
1
2021
Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties. Zbl 07780910
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
1
2023
Non-virtually abelian anisotropic linear groups are not boundedly generated. Zbl 1491.11045
Corvaja, Pietro; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
6
2022
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. Zbl 1489.11059
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
4
2022
Bounded generation by semi-simple elements: quantitative results. (Engendrement borné par éléments semi-simples: résultats quantitatifs.) Zbl 1519.11016
Corvaja, Pietro; Demeio, Julian L.; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
1
2022
Finiteness theorems for algebraic tori over function fields. Zbl 1473.14093
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
1
2021
The finiteness of the genus of a finite-dimensional division algebra, and some generalizations. Zbl 1467.16018
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
8
2020
Linear algebraic groups with good reduction. Zbl 1466.20032
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
3
2020
Spinor groups with good reduction. Zbl 1443.11031
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
11
2019
Bounded generation of \(\mathrm{SL}_2\) over rings of \(S\)-integers with infinitely many units. Zbl 1448.11198
Morgan, Aleksander; Rapinchuk, Andrei; Sury, Balasubramanian
13
2018
Generic elements of a Zariski-dense subgroup form an open subset. Zbl 1423.22015
Prasad, G.; Rapinchuk, A. S.
5
2017
On the size of the genus of a division algebra. Zbl 1356.16013
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
9
2016
On some finiteness properties of algebraic groups over finitely generated fields. (Sur quelques propriétés de finitude des groupes algébriques sur des corps de type fini.) Zbl 1376.14049
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
9
2016
On the congruence kernel for simple algebraic groups. Zbl 1356.20031
Prasad, Gopal; Rapinchuk, Andrei S.
3
2016
Division algebras with the same maximal subfields. Zbl 1325.12006
Chernousov, V. I.; Rapinchuk, A. S.; Rapinchuk, I. A.
9
2015
Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces. Zbl 1347.20053
Prasad, Gopal; Rapinchuk, Andrei S.
12
2014
Strong approximation for algebraic groups. Zbl 1341.20042
Rapinchuk, Andrei S.
12
2014
On the fields generated by the lengths of closed geodesics in locally symmetric spaces. Zbl 1308.53077
Prasad, Gopal; Rapinchuk, Andrei S.
4
2014
Towards the eigenvalue rigidity of Zariski-dense subgroups. Zbl 1373.20063
Rapinchuk, Andrei S.
4
2014
Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk. Zbl 1278.57020
Funar, Louis
15
2013
The genus of a division algebra and the unramified Brauer group. Zbl 1293.16015
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
11
2013
The multinorm principle for linearly disjoint Galois extensions. Zbl 1309.11078
Pollio, Timothy P.; Rapinchuk, Andrei S.
8
2013
Weakly commensurable \(S\)-arithmetic subgroups in almost simple algebraic groups of types B and C. Zbl 1285.20045
Garibaldi, Skip; Rapinchuk, Andrei
6
2013
On the genus of a division algebra. Zbl 1272.16020
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A.
7
2012
The congruence subgroup property for \(\operatorname{Aut} F_2\): a group-theoretic proof of Asada’s theorem. Zbl 1251.20035
Bux, Kai-Uwe; Ershov, Mikhail V.; Rapinchuk, Andrei S.
12
2011
Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank \(> 1\) over Noetherian rings. Zbl 1232.19001
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
5
2011
Local-global principles for embedding of fields with involution into simple algebras with involution. Zbl 1223.11047
Prasad, Gopal; Rapinchuk, Andrei S.
16
2010
On division algebras having the same maximal subfields. Zbl 1205.16015
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
12
2010
Number-theoretic techniques in the theory of Lie groups and differential geometry. Zbl 1209.22006
Prasad, Gopal; Rapinchuk, Andrei S.
2
2010
Weakly commensurable arithmetic groups and isospectral locally symmetric spaces. Zbl 1176.22011
Prasad, Gopal; Rapinchuk, Andrei S.
40
2009
On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior. Zbl 1132.20024
Prasad, Gopal; Rapinchuk, Andrei S.
17
2006
Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields. Zbl 1168.20020
Erovenko, Igor V.; Rapinchuk, Andrei S.
15
2006
The Margulis-Platonov conjecture for \(\text{SL}_{1,D}\) and 2-generation of finite simple groups. Zbl 1101.20027
Rapinchuk, Andrei S.
3
2006
Nonabelian free subgroups in homomorphic images of valued quaternion division algebras. Zbl 1117.16007
Rapinchuk, Andrei S.; Rowen, Louis; Segev, Yoav
1
2006
Zariski-dense subgroups and transcendental number theory. Zbl 1072.22009
Prasad, Gopal; Rapinchuk, Andrei S.
8
2005
Existence of irreducible \(\mathbb R\)-regular elements in Zariski-dense subgroups. Zbl 1029.22020
Prasad, Gopal; Rapinchuk, Andrei S.
24
2003
Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable. Zbl 1008.16018
Rapinchuk, Andrei S.; Segev, Yoav; Seitz, Gary M.
28
2002
Subnormal subgroups of the groups of rational points of reductive algebraic groups. Zbl 1007.20043
Prasad, Gopal; Rapinchuk, Andrei S.
4
2002
Erratum: Irreducible tori in semisimple groups. Zbl 1099.22501
Prasad, Gopal; Rapinchuk, Andrei S.
1
2002
Valuation-like maps and the congruence subgroup property. Zbl 0999.16016
Rapinchuk, Andrei S.; Segev, Yoav
11
2001
Irreducible tori in semisimple groups. Zbl 1057.22025
Prasad, Gopal; Rapinchuk, Andrei S.
10
2001
Bounded generation of some \(S\)-arithmetic orthogonal groups. Zbl 1010.20033
Erovenko, Igor V.; Rapinchuk, Andrei S.
9
2001
On abstract homomorphisms of Chevalley groups with nonreductive image. I. Zbl 0987.20025
Lifschitz, L.; Rapinchuk, A.
4
2001
Low-dimensional linear representations of \(\operatorname{Aut} F_n\), \(n\geq 3\). Zbl 0942.20002
Potapchik, A.; Rapinchuk, A.
6
2000
The congruence subgroup problem. Zbl 1125.20313
Rapinchuk, A. S.
5
1999
On the finite dimensional unitary representations of Kazhdan groups. Zbl 0926.22001
Rapinchuk, A.
4
1999
On \(SS\)-rigid groups and A. Weil’s criterion for local rigidity. I. Zbl 0920.20004
Rapinchuk, A. S.
6
1998
\(n\)-dimensional linear representations of \(\operatorname{Aut} F_ n\), and more. Zbl 0891.20024
Rapinchuk, Andrei S.
1
1997
Computation of the metaplectic kernel. Zbl 0941.22019
Prasad, Gopal; Rapinchuk, Andrei S.
28
1996
Representation varieties of the fundamental groups of compact orientable surfaces. Zbl 0857.14012
Rapinchuk, A. S.; Benyash-Krivetz, V. V.; Chernousov, V. I.
25
1996
Normal subgroups of \(SL_{1,D}\) and the classification of finite simple groups. Zbl 0879.20027
Rapinchuk, Andrei; Potapchik, Alexander
6
1996
Algebraic groups and number theory. Transl. from the Russian by Rachel Rowen. Zbl 0841.20046
Platonov, Vladimir; Rapinchuk, Andrei
332
1994
The geometric theory of representations for the fundamental groups of compact oriented surfaces. Zbl 0840.20031
Rapinchuk, A. S.; Benyash-Krivets, V. V.
3
1993
Algebraic groups and number theory. Zbl 0806.11002
Platonov, V. P.; Rapinchuk, A. S.
127
1992
Abstract properties of \(S\)-arithmetic groups and the congruence problem. Zbl 0785.20025
Platonov, V. P.; Rapinchuk, A. S.
15
1992
Congruence subgroup problem for algebraic groups: Old and new. Zbl 0805.20040
Rapinchuk, A. S.
8
1992
Algebraic groups and number theory. (Алгебраические группы и теория чисел.) Zbl 0732.20027
Platonov, V. P.; Rapinchuk, A. S.
62
1991
The congruence problem for arithmetic groups of finite width. Zbl 0745.20043
Rapinchuk, A. S.
8
1990
The congruence subgroup problem for algebraic groups. Zbl 0725.20034
Rapinchuk, A.
4
1990
Representations of groups of finite width. Zbl 0777.20014
Rapinchuk, A. S.
2
1990
On the congruence problem for algebraic groups. Zbl 0692.20033
Rapinchuk, A. S.
3
1989
Multiplicative arithmetic of division algebras over number fields, and the metaplectic problem. Zbl 0678.20031
Rapinchuk, A. S.
4
1988
The congruence problem for algebraic groups and strong approximations in affine varieties. Zbl 0661.20034
Rapinchuk, A. S.
3
1988
The Hasse principle for symmetric spaces. Zbl 0679.14027
Rapinchuk, A. S.
2
1987
Multiplicative arithmetic of division algebras over number fields and the metaplectic problem. Zbl 0631.20034
Rapinchuk, A. S.
1
1987
Associative algebras. (Assotsiativnye algebry). Transl. from the English by A. S. Rapinchuk and V. I. Yanchevskij. Transl. ed. and with a preface by A. E. Zalesskij. Zbl 0671.16001
Pierce, Richard S.
2
1986
Multiplicative structure of skew fields over number fields and Hasse norm principle. Zbl 0559.12010
Platonov, V. P.; Rapinchuk, A. S.
4
1984
Algebraic groups. Zbl 0564.20023
Platonov, V. P.; Rapinchuk, A. S.
3
1983
The multiplicative structure of division rings over number fields, and the Hasse principle. Zbl 0516.20029
Platonov, V. P.; Rapinchuk, A. S.
3
1982
Platonov’s conjecture on the genus in arithmetic groups. Zbl 0477.20027
Rapinchuk, A. S.
2
1981
Class numbers in the genus of quadratic forms and algebraic groups. Zbl 0473.20032
Rapinchuk, A. S.
1
1981
Class numbers and groups of algebraic groups. II. Zbl 0464.20031
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
1
1981
Class numbers and groups of algebraic groups. Zbl 0448.20045
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
1
1980
Klassenzahlen und Klassengruppen algebraischer Gruppen. II. Zbl 0453.20033
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
1
1980
On the group of rational points of three-dimensional groups. Zbl 0431.12012
Platonov, V. P.; Rapinchuk, A. S.
7
1979
Class number of algebraic groups. Zbl 0425.20038
Platonov, V. P.; Bondarenko, A. A.; Rapinchuk, A. S.
3
1979
On the estimation of the number of double classes of adele groups of algebraic groups. Zbl 0393.20031
Bondarenko, A. A.; Rapincuk, A. S.
1
1978
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Cited by 743 Authors

36 Rapinchuk, Andrei S.
21 Lubotzky, Alexander
16 Nguyễn Quôc Thăng
16 Rapinchuk, Igor A.
15 Chernousov, Vladimir I.
10 Oh, Hee
10 Prasad, Gopal
9 Einsiedler, Manfred Leopold
9 Parimala, Raman
8 Avni, Nir
8 Linowitz, Benjamin
8 McReynolds, David Ben
7 Garibaldi, Skip
7 Margulis, Grigoriĭ Aleksandrovich
7 Mohammadi, Amir
7 Yu, Chia-Fu
6 Aka, Menny
6 Belolipetsky, Mikhail V.
6 Benyash-Krivets, Valeriĭ Vatslavovich
6 Borovoi, Mikhail V.
6 Gelander, Tsachik
6 Gille, Philippe
6 Gorodnik, Alexander
6 Grunewald, Fritz J.
6 Kaletha, Tasho
6 Segev, Yoav
6 Vavilov, Nikolaĭ Aleksandrovich
6 Venkataramana, Tyakal Nanjundiah
6 Wei, Dasheng
6 Witte Morris, Dave
6 Xu, Fei
5 Bayer-Fluckiger, Eva
5 Ben-Ezra, David El-Chai
5 Fiori, Andrew
5 Gordeev, Nikolai L.
5 Kammeyer, Holger
5 Kunyavskiĭ, Boris Èmmanuilovich
5 Larsen, Michael Jeffrey
5 Sarnak, Peter Clive
5 Shapira, Uri
5 Stover, Matthew
5 Sury, Balasubramanian
5 Vishne, Uzi
5 Wakatsuki, Satoshi
5 Yafaev, Andrei
4 Arenas-Carmona, Luis
4 Bitan, Rony A.
4 Cao, Yang
4 Chan, Wai Kiu
4 Choiy, Kwangho
4 Colliot-Thélène, Jean-Louis
4 Emery, Vincent
4 Liebeck, Martin Walter
4 Loughran, Daniel
4 Meyer, Jeffrey S.
4 Pillay, Anand
4 Platonov, Vladimir Petrovich
4 Rowen, Louis Halle
4 Salehi Golsefidy, Alireza
4 Sauer, Roman
4 Thakur, Maneesh L.
4 Ullmo, Emmanuel
4 Venkatesh, Akshay
4 Wortman, Kevin A.
4 Zalesskii, Pavel
3 Admiralova, Aleksandra Nikolaevna
3 Bader, Uri
3 Bekka, Mohammed el Bachir
3 Benoist, Yves
3 Bou-Rabee, Khalid
3 Breuillard, Emmanuel
3 Bridson, Martin R.
3 Bundy, David M.
3 del Río, Angel
3 Detinko, Alla S.
3 Flicker, Yuval Z.
3 Gao, Ziyang
3 Glasner, Yair
3 Gross, Benedict Hyman
3 Gvozdevsky, Pavel
3 Hooda, Neha
3 Jaikin-Zapirain, Andrei
3 Kim, Henry H.
3 Kim, Inkang
3 Klopsch, Benjamin
3 Köhl, Ralf
3 Kontorovich, Alex V.
3 Krashen, Daniel
3 Levit, Arie
3 Lim, Seonhee
3 Lindenstrauss, Elon
3 Luethi, Manuel
3 Mahdavi-Hezavehi, M.
3 Martin, Benjamin M. S.
3 Mazur, Marcin
3 Meiri, Chen
3 Mila, Olivier
3 Ngô Thi Ngoan
3 Onn, Uri
3 Paulin, Frédéric
...and 643 more Authors
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Cited in 146 Serials

51 Journal of Algebra
32 Duke Mathematical Journal
31 Israel Journal of Mathematics
28 Transactions of the American Mathematical Society
27 Journal of Number Theory
24 Mathematische Zeitschrift
24 Proceedings of the American Mathematical Society
21 Inventiones Mathematicae
20 Advances in Mathematics
15 Geometriae Dedicata
14 Annals of Mathematics. Second Series
13 Compositio Mathematica
12 Michigan Mathematical Journal
11 Journal of Pure and Applied Algebra
11 Mathematische Annalen
11 Journal of Mathematical Sciences (New York)
11 Forum of Mathematics, Sigma
10 Communications in Algebra
10 Journal of the American Mathematical Society
10 Geometric and Functional Analysis. GAFA
10 Algebra & Number Theory
8 Annales de l’Institut Fourier
8 Publications Mathématiques
8 Journal für die Reine und Angewandte Mathematik
8 Manuscripta Mathematica
8 Ergodic Theory and Dynamical Systems
8 Journal of the European Mathematical Society (JEMS)
8 Proceedings of the Steklov Institute of Mathematics
7 Journal of the London Mathematical Society. Second Series
7 Memoirs of the American Mathematical Society
6 International Journal of Algebra and Computation
6 Geometry & Topology
6 Journal of Group Theory
6 Algebraic & Geometric Topology
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 International Journal of Number Theory
5 Nagoya Mathematical Journal
5 Documenta Mathematica
5 Transformation Groups
5 Representation Theory
5 Journal of Algebra and its Applications
5 Journal of Modern Dynamics
5 European Journal of Mathematics
4 Journal d’Analyse Mathématique
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Archiv der Mathematik
4 Bulletin of the London Mathematical Society
4 Mathematika
4 Pacific Journal of Mathematics
4 Journal of the Institute of Mathematics of Jussieu
4 Groups, Geometry, and Dynamics
3 Mathematical Notes
3 Commentarii Mathematici Helvetici
3 Journal of the Mathematical Society of Japan
3 Journal of Soviet Mathematics
3 Monatshefte für Mathematik
3 Proceedings of the Japan Academy. Series A
3 Proceedings of the London Mathematical Society. Third Series
3 Siberian Mathematical Journal
3 Annals of Pure and Applied Logic
3 Forum Mathematicum
3 International Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Doklady Mathematics
3 Trudy Instituta Matematiki
2 Communications in Mathematical Physics
2 Linear and Multilinear Algebra
2 Mathematics of Computation
2 Acta Arithmetica
2 Bulletin de la Société Mathématique de France
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Functional Analysis
2 Topology and its Applications
2 European Journal of Combinatorics
2 IMRN. International Mathematics Research Notices
2 Linear Algebra and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Journal of Algebraic Geometry
2 Journal de Théorie des Nombres de Bordeaux
2 Bulletin des Sciences Mathématiques
2 Journal of the Australian Mathematical Society
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Noncommutative Geometry
2 Albanian Journal of Mathematics
2 Journal de l’École Polytechnique – Mathématiques
2 Research in Number Theory
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Russian Mathematical Surveys
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Algebra and Logic
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Geometry
1 The Journal of Symbolic Logic
...and 46 more Serials
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Cited in 40 Fields

378 Number theory (11-XX)
364 Group theory and generalizations (20-XX)
201 Topological groups, Lie groups (22-XX)
181 Algebraic geometry (14-XX)
65 Dynamical systems and ergodic theory (37-XX)
51 Associative rings and algebras (16-XX)
47 Manifolds and cell complexes (57-XX)
39 Differential geometry (53-XX)
38 Field theory and polynomials (12-XX)
29 Combinatorics (05-XX)
25 Nonassociative rings and algebras (17-XX)
20 \(K\)-theory (19-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Geometry (51-XX)
14 Mathematical logic and foundations (03-XX)
14 Several complex variables and analytic spaces (32-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Category theory; homological algebra (18-XX)
9 Functions of a complex variable (30-XX)
9 Functional analysis (46-XX)
7 Algebraic topology (55-XX)
6 Commutative algebra (13-XX)
6 Abstract harmonic analysis (43-XX)
5 Measure and integration (28-XX)
5 Probability theory and stochastic processes (60-XX)
3 Convex and discrete geometry (52-XX)
3 Computer science (68-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General topology (54-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Relativity and gravitational theory (83-XX)
1 Biology and other natural sciences (92-XX)

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