Compute Distance To:
 Documents Indexed: 68 Publications since 1972, including 3 Books 3 Contributions as Editor Co-Authors: 32 Co-Authors with 44 Joint Publications 1,487 Co-Co-Authors
all top 5

### Co-Authors

 25 single-authored 17 Rapinchuk, Andrei S. 6 Raghunathan, Madabusi Santanam 5 Borel, Armand 5 Conrad, Brian 4 Yeung, Sai-Kee 3 Benyash-Krivets, Valeriĭ Vatslavovich 3 Faddeev, Lyudvig Dmitrievich 3 Margulis, Grigoriĭ Aleksandrovich 3 Novikov, Sergeĭ Petrovich 3 Zel’manov, Efim Isaakovich 2 Adyan, Sergeĭ Ivanovich 2 Bukhshtaber, Viktor Matveevich 2 Chernousov, Vladimir I. 2 Edixhoven, Bas 2 Gabber, Ofer 2 Gille, Philippe 2 Kozlov, Valeriĭ Vasil’evich 2 Moy, Allen 2 Parshin, Alexei N. 2 Polo, Patrick 2 Yu, Jiu-Kang 1 Arthur, James Greig 1 Bombieri, Enrico 1 Chandrasekharan, Komaravolu 1 Dani, Shrikrishna Gopalrao 1 Hirzebruch, Friedrich 1 Jarden, Moshe 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Osipov, Yuriĭ Sergeevich 1 Serre, Jean-Pierre 1 Springer, Tonny Albert 1 Tits, Jacques 1 Zhizhchenko, Alexey B.
all top 5

### Serials

 7 American Journal of Mathematics 7 Inventiones Mathematicae 5 Publications Mathématiques 4 Commentarii Mathematici Helvetici 3 Bulletin de la Société Mathématique de France 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Annals of Mathematics. Second Series 2 Classical and Quantum Gravity 2 Russian Mathematical Surveys 2 Advances in Mathematics 2 Mathematische Annalen 2 IMRN. International Mathematics Research Notices 2 Mathematical Research Letters 2 Panoramas et Synthèses 2 New Mathematical Monographs 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Geometriae Dedicata 1 Journal of Algebra 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Mathematical Society of Japan 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Revista Colombiana de Matemáticas 1 Transactions of the Moscow Mathematical Society 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 The Asian Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Annals of Mathematics Studies 1 Proceedings of the Steklov Institute of Mathematics 1 Tata Institute of Fundamental Research. Studies in Mathematics
all top 5

### Fields

 42 Group theory and generalizations (20-XX) 39 Topological groups, Lie groups (22-XX) 24 Number theory (11-XX) 14 Algebraic geometry (14-XX) 7 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Differential geometry (53-XX) 2 Associative rings and algebras (16-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

58 Publications have been cited 1,031 times in 728 Documents Cited by Year
Jacquet functors and unrefined minimal $$K$$-types. Zbl 0860.22006
1996
Unrefined minimal $$K$$-types for $$p$$-adic groups. Zbl 0804.22008
1994
Strong rigidity of Q-rank 1 lattices. Zbl 0264.22009
1973
Pseudo-reductive groups. 2nd ed. Zbl 1314.20037
2015
Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad. Zbl 0695.22005
1989
Cartan subgroups and lattices in semi-simple groups. Zbl 0245.22013
1972
Pseudo-reductive groups. Zbl 1216.20038
2010
Strong approximation for semi-simple groups over function fields. Zbl 0348.22006
1977
Fake projective planes. Zbl 1253.14034
2007
Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032
1989
Topological central extensions of semi-simple groups over local fields. I, II. Zbl 0552.20025
1984
Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits. Zbl 0492.20029
1982
Weakly commensurable arithmetic groups and isospectral locally symmetric spaces. Zbl 1176.22011
2009
Computation of the metaplectic kernel. Zbl 0941.22019
1996
Galois-fixed points in the Bruhat-Tits building of a reductive group. Zbl 0992.20032
2001
Existence of irreducible $$\mathbb R$$-regular elements in Zariski-dense subgroups. Zbl 1029.22020
2003
Values of isotropic quadratic forms at $$S$$-integral points. Zbl 0777.11008
1992
On finite group actions on reductive groups and buildings. Zbl 1020.22003
2002
On the congruence subgroup problem: Determination of the ”Metaplectic kernel”. Zbl 0517.20021
1983
$$\mathbb{R}$$-regular elements in Zariski-dense subgroups. Zbl 0828.22010
1994
On the Kneser-Tits problem. Zbl 0574.20033
1985
Arithmetic fake projective spaces and arithmetic fake Grassmannians. Zbl 1168.14018
2009
Local-global principles for embedding of fields with involution into simple algebras with involution. Zbl 1223.11047
2010
On quasi-reductive group schemes. Zbl 1112.14053
2006
On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior. Zbl 1132.20024
2006
Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces. Zbl 1347.20053
2014
Addendum to “Fake projective planes” Invent. Math. 168, 321-370 (2007). Zbl 1388.14074
2010
Zariski-dense subgroups and transcendental number theory. Zbl 1072.22009
2005
Topological central extensions of $$\text{SL}_1(D)$$. Zbl 0701.20024
1988
Triviality of certain automorphisms of semi-simple groups over local fields. Zbl 0302.20040
1975
Addendum to: Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups. Zbl 0712.11026
1990
Discrete subgroups isomorphic to lattices in Lie groups. Zbl 0356.22010
1976
Discrete subgroups isomorphic to lattices in semisimple Lie groups. Zbl 0336.22008
1976
Irreducible tori in semisimple groups. Zbl 1057.22025
2001
Valeurs de formes quadratiques aux points entiers. (Values of quadratic forms at integral points). Zbl 0654.10022
1988
Nonexistence of arithmetic fake compact Hermitian symmetric spaces of type other than $$A_n$$ $$(n\leq 4)$$. Zbl 1266.22015
2012
Tame component of the Schur multipliers of finite groups of Lie type. Zbl 0518.20031
1982
Classification of pseudo-reductive groups. Zbl 1342.20048
2016
On the fields generated by the lengths of closed geodesics in locally symmetric spaces. Zbl 1308.53077
2014
Strong approximation for semi-simple groups over function fields. Zbl 0344.22012
1977
Subnormal subgroups of the groups of rational points of reductive algebraic groups. Zbl 1007.20043
2002
Deligne’s topological central extension is universal. Zbl 1037.22040
2004
On the congruence kernel for simple algebraic groups. Zbl 1356.20031
2016
Semi-simple groups and arithmetic subgroups. Zbl 0749.20027
1991
Number-theoretic techniques in the theory of Lie groups and differential geometry. Zbl 1209.22006
2010
On the ”wild” norm residue symbol in an abelian extension. Zbl 0576.12017
1986
Une variante d’un théorème de Calvin Moore. (A variant of a theorem of Calvin Moore). Zbl 0586.20024
1986
Weakly-split spherical Tits systems in quasi-reductive groups. Zbl 1305.20038
2014
On the Kneser-Tits problem for triality forms. Zbl 1157.20025
2008
Generic elements of a Zariski-dense subgroup form an open subset. Zbl 1423.22015
2017
Finite group actions on reductive groups and buildings and tamely-ramified descent in Bruhat-Tits theory. Zbl 07229237
2020
Sous-groupes discrets de groupes p-adiques à covolume borné. (Discrete subgroups of p-adic groups with bounded covolume). Zbl 0646.22006
1987
Erratum: Irreducible tori in semisimple groups. Zbl 1099.22501
2002
On group schemes. A celebration of SGA3. Lecture notes of the summer school “Group schemes, an introduction to the SGA3 seminar of Demazure-Grothendieck”, CIRM, Luminy, France, August 29 – September 9, 2011. Volume II. (Autour des schémas en groupes. École d’Été “Schémas en groupes”. Volume II.) Zbl 1339.14001
2015
Tame subgroup of a semisimple group over a local field. Zbl 0566.20024
1983
Vorticity and helicity in relativistic heat-conducting fluid. Zbl 1381.85005
2017
Structure and classification of pseudo-reductive groups. Zbl 06863725
2017
A new approach to unramified descent in Bruhat-Tits theory. Zbl 1480.20079
2020
Finite group actions on reductive groups and buildings and tamely-ramified descent in Bruhat-Tits theory. Zbl 07229237
2020
A new approach to unramified descent in Bruhat-Tits theory. Zbl 1480.20079
2020
Generic elements of a Zariski-dense subgroup form an open subset. Zbl 1423.22015
2017
Vorticity and helicity in relativistic heat-conducting fluid. Zbl 1381.85005
2017
Structure and classification of pseudo-reductive groups. Zbl 06863725
2017
Classification of pseudo-reductive groups. Zbl 1342.20048
2016
On the congruence kernel for simple algebraic groups. Zbl 1356.20031
2016
Pseudo-reductive groups. 2nd ed. Zbl 1314.20037
2015
On group schemes. A celebration of SGA3. Lecture notes of the summer school “Group schemes, an introduction to the SGA3 seminar of Demazure-Grothendieck”, CIRM, Luminy, France, August 29 – September 9, 2011. Volume II. (Autour des schémas en groupes. École d’Été “Schémas en groupes”. Volume II.) Zbl 1339.14001
2015
Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces. Zbl 1347.20053
2014
On the fields generated by the lengths of closed geodesics in locally symmetric spaces. Zbl 1308.53077
2014
Weakly-split spherical Tits systems in quasi-reductive groups. Zbl 1305.20038
2014
Nonexistence of arithmetic fake compact Hermitian symmetric spaces of type other than $$A_n$$ $$(n\leq 4)$$. Zbl 1266.22015
2012
Pseudo-reductive groups. Zbl 1216.20038
2010
Local-global principles for embedding of fields with involution into simple algebras with involution. Zbl 1223.11047
2010
Addendum to “Fake projective planes” Invent. Math. 168, 321-370 (2007). Zbl 1388.14074
2010
Number-theoretic techniques in the theory of Lie groups and differential geometry. Zbl 1209.22006
2010
Weakly commensurable arithmetic groups and isospectral locally symmetric spaces. Zbl 1176.22011
2009
Arithmetic fake projective spaces and arithmetic fake Grassmannians. Zbl 1168.14018
2009
On the Kneser-Tits problem for triality forms. Zbl 1157.20025
2008
Fake projective planes. Zbl 1253.14034
2007
On quasi-reductive group schemes. Zbl 1112.14053
2006
On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior. Zbl 1132.20024
2006
Zariski-dense subgroups and transcendental number theory. Zbl 1072.22009
2005
Deligne’s topological central extension is universal. Zbl 1037.22040
2004
Existence of irreducible $$\mathbb R$$-regular elements in Zariski-dense subgroups. Zbl 1029.22020
2003
On finite group actions on reductive groups and buildings. Zbl 1020.22003
2002
Subnormal subgroups of the groups of rational points of reductive algebraic groups. Zbl 1007.20043
2002
Erratum: Irreducible tori in semisimple groups. Zbl 1099.22501
2002
Galois-fixed points in the Bruhat-Tits building of a reductive group. Zbl 0992.20032
2001
Irreducible tori in semisimple groups. Zbl 1057.22025
2001
Jacquet functors and unrefined minimal $$K$$-types. Zbl 0860.22006
1996
Computation of the metaplectic kernel. Zbl 0941.22019
1996
Unrefined minimal $$K$$-types for $$p$$-adic groups. Zbl 0804.22008
1994
$$\mathbb{R}$$-regular elements in Zariski-dense subgroups. Zbl 0828.22010
1994
Values of isotropic quadratic forms at $$S$$-integral points. Zbl 0777.11008
1992
Semi-simple groups and arithmetic subgroups. Zbl 0749.20027
1991
Addendum to: Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups. Zbl 0712.11026
1990
Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad. Zbl 0695.22005
1989
Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032
1989
Topological central extensions of $$\text{SL}_1(D)$$. Zbl 0701.20024
1988
Valeurs de formes quadratiques aux points entiers. (Values of quadratic forms at integral points). Zbl 0654.10022
1988
Sous-groupes discrets de groupes p-adiques à covolume borné. (Discrete subgroups of p-adic groups with bounded covolume). Zbl 0646.22006
1987
On the ”wild” norm residue symbol in an abelian extension. Zbl 0576.12017
1986
Une variante d’un théorème de Calvin Moore. (A variant of a theorem of Calvin Moore). Zbl 0586.20024
1986
On the Kneser-Tits problem. Zbl 0574.20033
1985
Topological central extensions of semi-simple groups over local fields. I, II. Zbl 0552.20025
1984
On the congruence subgroup problem: Determination of the ”Metaplectic kernel”. Zbl 0517.20021
1983
Tame subgroup of a semisimple group over a local field. Zbl 0566.20024
1983
Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits. Zbl 0492.20029
1982
Tame component of the Schur multipliers of finite groups of Lie type. Zbl 0518.20031
1982
Strong approximation for semi-simple groups over function fields. Zbl 0348.22006
1977
Strong approximation for semi-simple groups over function fields. Zbl 0344.22012
1977
Discrete subgroups isomorphic to lattices in Lie groups. Zbl 0356.22010
1976
Discrete subgroups isomorphic to lattices in semisimple Lie groups. Zbl 0336.22008
1976
Triviality of certain automorphisms of semi-simple groups over local fields. Zbl 0302.20040
1975
Strong rigidity of Q-rank 1 lattices. Zbl 0264.22009
1973
Cartan subgroups and lattices in semi-simple groups. Zbl 0245.22013
1972
all top 5

all top 5

### Cited in 148 Serials

 38 Duke Mathematical Journal 29 Inventiones Mathematicae 29 Transactions of the American Mathematical Society 28 Mathematische Zeitschrift 25 Israel Journal of Mathematics 22 Journal of Algebra 20 Advances in Mathematics 20 Journal of Number Theory 19 Compositio Mathematica 19 Proceedings of the American Mathematical Society 19 Representation Theory 18 Mathematische Annalen 16 Transformation Groups 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Journal of the American Mathematical Society 15 Geometry & Topology 14 Journal of Pure and Applied Algebra 13 Geometric and Functional Analysis. GAFA 12 Journal für die Reine und Angewandte Mathematik 12 Selecta Mathematica. New Series 12 Algebraic & Geometric Topology 11 Geometriae Dedicata 11 Publications Mathématiques 10 Annales de l’Institut Fourier 9 Annals of Mathematics. Second Series 8 Manuscripta Mathematica 8 Ergodic Theory and Dynamical Systems 8 Bulletin of the American Mathematical Society. New Series 7 Communications in Algebra 7 Michigan Mathematical Journal 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Journal of Algebraic Geometry 6 Journal of the Institute of Mathematics of Jussieu 6 Forum of Mathematics, Sigma 5 Journal de Théorie des Nombres de Bordeaux 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 International Journal of Number Theory 5 Science China. Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Archiv der Mathematik 4 Functiones et Approximatio. Commentarii Mathematici 4 Functional Analysis and its Applications 4 Journal of Soviet Mathematics 4 International Journal of Mathematics 4 The Ramanujan Journal 4 Algebras and Representation Theory 4 Journal of the European Mathematical Society (JEMS) 4 Proceedings of the Steklov Institute of Mathematics 3 Journal d’Analyse Mathématique 3 Bulletin of the London Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 Forum Mathematicum 3 Journal of Knot Theory and its Ramifications 3 Journal of Lie Theory 3 Documenta Mathematica 3 Oberwolfach Reports 3 Journal of Modern Dynamics 3 Algebra & Number Theory 3 Journal of Topology 2 Mathematical Notes 2 Chaos, Solitons and Fractals 2 Commentarii Mathematici Helvetici 2 Indiana University Mathematics Journal 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 Topology and its Applications 2 Journal of the Ramanujan Mathematical Society 2 Expositiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Discrete and Continuous Dynamical Systems 2 Taiwanese Journal of Mathematics 2 Journal of Group Theory 2 Frontiers of Mathematics in China 2 Groups, Geometry, and Dynamics 2 Journal of Topology and Analysis 2 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Bulletin of Mathematical Sciences 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics ...and 48 more Serials
all top 5

### Cited in 36 Fields

 327 Topological groups, Lie groups (22-XX) 280 Group theory and generalizations (20-XX) 249 Number theory (11-XX) 176 Algebraic geometry (14-XX) 98 Manifolds and cell complexes (57-XX) 56 Differential geometry (53-XX) 54 Dynamical systems and ergodic theory (37-XX) 30 Several complex variables and analytic spaces (32-XX) 26 Geometry (51-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Associative rings and algebras (16-XX) 19 Nonassociative rings and algebras (17-XX) 15 Measure and integration (28-XX) 15 Functions of a complex variable (30-XX) 12 Combinatorics (05-XX) 10 Field theory and polynomials (12-XX) 10 Abstract harmonic analysis (43-XX) 9 Category theory; homological algebra (18-XX) 8 $$K$$-theory (19-XX) 8 Probability theory and stochastic processes (60-XX) 7 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Relativity and gravitational theory (83-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.