Edit Profile (opens in new tab) Vaserstein, Leonid N. Co-Author Distance Author ID: vaserstein.leonid-n Published as: Vaserstein, L. N.; Vaserstein, Leonid N.; Vaserstein, Leonid; Vaserstein, L.; Vaseršteĭn, L. N. more...less External Links: MGP · Wikidata · GND Documents Indexed: 117 Publications since 1968, including 1 Book and 1 Additional arXiv Preprint Reviewing Activity: 781 Reviews Co-Authors: 38 Co-Authors with 55 Joint Publications 1,011 Co-Co-Authors all top 5 Co-Authors 61 single-authored 8 Gallardo, Luis Henri 8 Wheland, Ethel R. 5 Magurn, Bruce A. 4 Arlinghaus, F. A. 3 Dennis, Roger Keith 3 Frisch, Sophie 3 Menal, Pere 3 Suslin, Andreĭ Aleksandrovich 3 You, Hong 2 Grunewald, Fritz J. 2 Herman, Richard H. 2 Mennicke, Jens L. 2 Oliver, Bob 2 Onn, Uri 2 Prasad, Amritanshu 2 Rahavandrainy, Olivier 2 Sakkalis, Takis 1 Anderson, Joel 1 Avni, Nir 1 Bridges, Thomas J. 1 Byrne, C. C. 1 Car, Mireille 1 Chen, Mu-Fa 1 Cherly, Jørgen 1 Conn, W. 1 Dafni, Galia 1 Farouki, Rida T. 1 Gar-el, Rachel 1 Hong, You 1 Leontovich, Aleksandr Mikhaĭlovich 1 Lyubich, Yuriĭ Il’ich 1 Matthews, Charles Russell 1 Mikhalëv, Aleksandr Vasil’evich 1 Shlosman, Senya B. 1 Swan, Richard Gordon 1 Thurston, William Paul 1 Van der Kallen, Wilberd 1 Weisfeiler, Boris all top 5 Serials 8 Journal of Algebra 8 Journal of Pure and Applied Algebra 7 Linear Algebra and its Applications 7 Mathematics of the USSR, Sbornik 6 Journal of Number Theory 5 Functional Analysis and its Applications 4 Communications in Algebra 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Proceedings of the American Mathematical Society 3 Publicacions Matemàtiques 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Tôhoku Mathematical Journal. Second Series 2 \(K\)-Theory 2 Journal of the Australian Mathematical Society. Series A 2 Problemy Peredachi Informatsii 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Notes 1 Matematicheskie Zametki 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Algebra and Logic 1 American Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 International Journal of Game Theory 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematics of the USSR. Izvestiya 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Finite Fields and their Applications 1 Annals of Mathematics. Second Series 1 JP Journal of Algebra, Number Theory and Applications 1 International Journal of Number Theory 1 Journal of Combinatorics and Number Theory all top 5 Fields 52 Group theory and generalizations (20-XX) 29 Number theory (11-XX) 24 Category theory; homological algebra (18-XX) 21 Associative rings and algebras (16-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 12 \(K\)-theory (19-XX) 10 Commutative algebra (13-XX) 9 Functional analysis (46-XX) 5 Algebraic geometry (14-XX) 4 Algebraic topology (55-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,481 times in 929 Documents Cited by ▼ Year ▼ Stable rank of rings and dimensionality of topological spaces. Zbl 0239.16028 Vaserstein, L. N. 144 1971 Bass’s first stable range condition. Zbl 0547.16017 Vaserstein, L. N. 81 1984 Markovian processes on countable space product describing large systems of automata. Zbl 0273.60054 Vaserstein, L. N. 73 1969 On the stabilization of the general linear group over a ring. Zbl 0238.20057 Vaserstein, L. N. 67 1970 Serre’s problem on projective modules over polynomial rings, and algebraic K-theory. Zbl 0379.13009 Vaserstein, L. N.; Suslin, A. A. 65 1978 Congruence properties of Zariski-dense subgroups. I. Zbl 0551.20029 Matthews, C. R.; Vaserstein, L. N.; Weisfeiler, Boris 54 1984 On normal subgroups of Chevalley groups over commutative rings. Zbl 0578.20036 Vaserstein, Leonid N. 52 1986 On the normal subgroups of \(GL_ n\) over a ring. Zbl 0464.20030 Vaserstein, L. N. 47 1981 On a question of M. Newman on the number of commutators. Zbl 0649.20048 Dennis, R. K.; Vaserstein, L. N. 45 1988 Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0338.13015 Vaserstein, L. N.; Suslin, A. A. 44 1976 On the group \(SL_2\) over Dedekind rings of arithmetic type. Zbl 0359.20027 Vaserstein, L. N. 42 1973 Commutators and companion matrices over rings of stable rank 1. Zbl 0713.15003 Vaserstein, L. N.; Wheland, E. 34 1990 Normal subgroups of classical groups over rings. Zbl 0843.20037 Vaserstein, Leonid N.; You, Hong 33 1995 Stabilization of unitary and orthogonal groups over a ring with involution. Zbl 0253.20066 Vaserstein, L. N. 32 1971 The stable range of \(C^*\)-algebras. Zbl 0559.46025 Herman, Richard H.; Vaserstein, Leonid N. 31 1984 Absolute stable rank and Witt cancellation for noncommutative rings. Zbl 0639.16015 Magurn, B. A.; van der Kallen, Wilberd; Vaserstein, L. N. 31 1988 The structure of classical arithmetic groups of rank greater than one. Zbl 0291.14016 Vaserstein, L. N. 30 1974 Operations on orbits of unimodular vectors. Zbl 0592.20053 Vaserstein, Leonid N. 29 1986 Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002 Lyubich, Yuri I.; Vaserstein, Leonid N. 26 1993 On symplectic groups over polynomial rings. Zbl 0725.20038 Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 19 1991 Normal subgroups of orthogonal groups over commutative rings. Zbl 0654.20052 Vaserstein, L. N. 19 1988 Reduction of a matrix depending on parameters to a diagonal form by addition operations. Zbl 0657.55005 Vaserstein, L. N. 19 1988 Normal subgroups of symplectic groups over rings. Zbl 0669.20040 Vaserstein, L. N. 19 1989 Normal subgroups of the general linear groups over Banach algebras. Zbl 0589.20030 Vaserstein, L. N. 18 1986 On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\). Zbl 0805.20042 Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 16 1994 The subnormal structure of general linear groups over rings. Zbl 0711.20030 Vaserstein, L. N. 16 1990 Commutators in linear groups. Zbl 0676.20024 Dennis, R. K.; Vaserstein, L. N. 16 1989 On the Whitehead determinant for semi-local rings. Zbl 1059.19002 Vaserstein, L. N. 15 2005 Normal subgroups of the general linear groups over von Neumann regular rings. Zbl 0594.16007 Vaserstein, L. N. 14 1986 The subnormal structure of general linear groups. Zbl 0601.20046 Vaserstein, L. N. 14 1986 Ramsey’s theorem and Waring’s problem for algebras over fields. Zbl 0817.12002 Vaserstein, L. N. 13 1992 Vector bundles and projective modules. Zbl 0592.55012 Vaserstein, Leonid N. 13 1986 Waring’s problem for algebras over fields. Zbl 0624.10049 Vaserstein, L. N. 13 1987 On the sum of powers of matrices. Zbl 0637.10041 Vaserstein, L. N. 12 1987 Computation of \(K_ 1\) via Mennicke symbols. Zbl 0614.16018 Vaserstein, Leonid N. 12 1987 Products of conjugacy classes of two by two matrices. Zbl 0840.20040 Vaserstein, L.; Wheland, E. 11 1995 Subnormal structure of the general linear groups over Banach algebras. Zbl 0653.20050 Vaserstein, Leonid N. 10 1988 The strict Waring problem for polynomial rings. Zbl 1220.11151 Gallardo, Luis H.; Vaserstein, Leonid N. 9 2008 \(K_ 1\) theory and the congruence problem. Zbl 0195.32202 Vaserstein, L. N. 9 1969 Sums of cubes in polynomial rings. Zbl 0711.11013 Vaserstein, L. N. 9 1991 Non-commutative number theory. Zbl 0666.10032 Vaserstein, L. N. 9 1989 Factorization of invertible matrices over rings of stable rank one. Zbl 0705.15004 Vaserstein, Leonid N.; Wheland, Ethel 9 1990 Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013 Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 9 2009 Parametrization of Pythagorean triples by a single triple of polynomials. Zbl 1215.11025 Frisch, Sophie; Vaserstein, Leonid 8 2008 Units in Whitehead groups of finite groups. Zbl 0517.16011 Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid 8 1983 Every integral matrix is the sum of three squares. Zbl 0603.10050 Vaserstein, Leonid N. 8 1987 Stabilization for classical groups over rings. Zbl 0305.18007 Vaserstein, L. N. 8 1975 Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups. Zbl 1221.11082 Vaserstein, Leonid 8 2010 Commutators in ideals of trace class operators. Zbl 0602.47032 Anderson, Joel; Vaserstein, L. N. 8 1986 A note on Bruhat decomposition of \(\mathrm{GL}(n)\) over local principal ideal rings. Zbl 1112.15020 Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 7 2006 On the normal subgroups of the orthogonal group over a ring with involution. (Über normale Untergruppen einer orthogonalen Gruppe über einem Ring mit Involution.) Zbl 0239.20059 Vaserstein, L. N.; Mikhalev, A. V. 7 1972 On \(K_ 1\)-theory of the Euclidean space. Zbl 0611.18007 Thurston, William P.; Vaserstein, Leonid N. 7 1986 Products of involutory matrices over rings. Zbl 0836.15006 Arlinghaus, F. A.; Vaserstein, L. N.; Hong, You 6 1995 About the period of Bell numbers modulo a prime. Zbl 1195.11034 Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N. 6 2008 Foundations of algebraic \(K\)-theory. Zbl 0359.18015 Vaseršteĭn, L. N. 5 1976 On full subgroups in the sense of O’Meara. Zbl 0488.20035 Vaserstein, L. N. 5 1982 An answer to a question of M. Newman on matrix completion. Zbl 0601.15011 Vaserstein, L. N. 5 1986 Stabilisierung für klassische Gruppen über Ringen. Zbl 0287.18015 Vaserstein, L. N. 5 1974 Aufbau klassischer arithmetischer Gruppen vom Rang größer als 1. Zbl 0277.14018 Vaserstein, L. N. 5 1973 On the structure of \(GL_ 2\) over stable range one rings. Zbl 0702.20037 Menal, Pere; Vaserstein, Leonid N. 5 1990 Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\). Zbl 1166.53002 Sakkalis, Takis; Farouki, Rida T.; Vaserstein, Leonid 4 2009 On sums of three integral cubes. Zbl 0808.11075 Conn, W.; Vaserstein, L. N. 4 1994 On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices. Zbl 0724.20034 Menal, Pere; Vaserstein, Leonid N. 4 1991 On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices. Zbl 0662.20039 Menal, Pere; Vaserstein, Leonid N. 4 1989 On normal subgroups of \(GL_ 2\) over rings with many units. Zbl 0697.20040 Vaserstein, L. N. 4 1990 On \(K_ 1\)-theory of topological spaces. Zbl 0594.18013 Vaserstein, L. N. 4 1986 Über invariante Maße einiger Markovscher Operatoren, die eine homogene zufällige Umgebung beschreiben. Zbl 0306.60043 Vaserstein, L. N.; Leontovic, A. M. 4 1970 Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017 Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel 3 1998 Sums of three cubes. Zbl 0799.11039 Payne, G.; Vaserstein, L. N. 3 1992 Matrix zeros of quadratic equations. Zbl 0657.13005 Dafni, Galia; Vaserstein, Leonid 3 1988 Normal subgroups of classical groups over Banach algebras. Zbl 0708.46047 Vaserstein, Leonid N. 3 1988 Classical groups over rings. Zbl 0577.20033 Vaserstein, L. N. 3 1984 On the absolute stable range of rings of continuous functions. Zbl 0592.18006 Swan, R. G.; Vaserstein, L. N. 3 1986 Generalized Euclidean group rings. Zbl 0527.16007 Dennis, Keith; Magurn, Bruce; Vaserstein, Leonid 3 1984 Every integer is a sum or difference of 28 integral eighth powers. Zbl 0634.10042 Vaserstein, L. N. 3 1988 \(K_1\)-theory and the congruence problem. (Die \(K_1\)-Theorie und ein Kongruenzproblem.) Zbl 0177.04301 Vaserstein, L. N. 3 1969 On the Diophantine equation \(a^{3}+b^{3}+c^{3}+d^{3}=0\). Zbl 1031.11015 Gar-el, Rachel; Vaserstein, Leonid 2 2002 Rigid relations in \(\text{GL}_2F\). Zbl 0944.20028 Vaserstein, L.; Wheland, E. 2 1998 Two-dimensional representations of the free group in two generators over an arbitrary field. Zbl 1007.20021 Vaserstein, L.; Wheland, E. 2 2000 Commutators in pseudo-orthogonal groups. Zbl 0847.20042 Arlinghaus, F. A.; Vaserstein, L. N.; You, Hong 2 1995 Über die Stabilisierung für den Milnorschen \(K_2\)-Funktor. Zbl 0326.18009 Vaserstein, L. N. 2 1975 The stable rank of pullbacks. Zbl 1317.19001 Vaserstein, L. N. 2 2014 Linear algebra and algebraic K-theory. Zbl 0669.15001 Vaserstein, L. N. 2 1989 Polynomial parametrization of Pythagorean tuples. Zbl 1237.11015 Vaserstein, Leonid; Sakkalis, Takis; Frisch, Sophie 2 2010 On groups possessing property T. Zbl 0232.20087 Vaserstein, L. N. 2 1968 On the congruence problem for classical groups. Zbl 0279.20037 Vaserstein, L. N. 2 1969 Prestabilization for \(K_ 1\) of Banach algebras. Zbl 0629.20021 Vaserstein, L. N.; Magurn, B. A. 2 1987 Quantum \((abc)\)-theorems. Zbl 0990.11015 Vaserstein, L. N. 1 2000 Vanishing polynomial sums. Zbl 1073.12001 Vaserstein, L. N.; Wheland, E. R. 1 2003 Normal subgroups of gauge groups. Zbl 0679.22013 Vaserstein, L. N. 1 1989 Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\). Zbl 1127.11079 Gallardo, Luis; Rahavandrainy, Olivier; Vaserstein, Leonid 1 2007 Normal subgroups of classical groups over rings and gauge groups. Zbl 0676.20025 Vaserstein, L. N. 1 1989 On arithmetic subgroups of simple algebraic groups. Zbl 0594.20038 Vaserstein, L. N. 1 1985 On full subgroups of Chevalley groups. Zbl 0598.20051 Vaserstein, Leonid N. 1 1985 The congruence problem for a unitary group of rank \(\geq 2\). Zbl 0256.20063 Vaserstein, L. N. 1 1969 Unstable \(K_ 1\)-theory of topological spaces is nilpotent. Zbl 0762.19002 Vaserstein, L. N. 1 1992 Work of Pere Menal on normal subgroups. Zbl 0790.20064 Arlinghaus, F. A.; Vaserstein, L. N. 1 1992 The stable rank of pullbacks. Zbl 1317.19001 Vaserstein, L. N. 2 2014 Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups. Zbl 1221.11082 Vaserstein, Leonid 8 2010 Polynomial parametrization of Pythagorean tuples. Zbl 1237.11015 Vaserstein, Leonid; Sakkalis, Takis; Frisch, Sophie 2 2010 Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013 Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 9 2009 Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\). Zbl 1166.53002 Sakkalis, Takis; Farouki, Rida T.; Vaserstein, Leonid 4 2009 The strict Waring problem for polynomial rings. Zbl 1220.11151 Gallardo, Luis H.; Vaserstein, Leonid N. 9 2008 Parametrization of Pythagorean triples by a single triple of polynomials. Zbl 1215.11025 Frisch, Sophie; Vaserstein, Leonid 8 2008 About the period of Bell numbers modulo a prime. Zbl 1195.11034 Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N. 6 2008 Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\). Zbl 1127.11079 Gallardo, Luis; Rahavandrainy, Olivier; Vaserstein, Leonid 1 2007 A note on Bruhat decomposition of \(\mathrm{GL}(n)\) over local principal ideal rings. Zbl 1112.15020 Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 7 2006 On the Whitehead determinant for semi-local rings. Zbl 1059.19002 Vaserstein, L. N. 15 2005 Vanishing polynomial sums. Zbl 1073.12001 Vaserstein, L. N.; Wheland, E. R. 1 2003 On the Diophantine equation \(a^{3}+b^{3}+c^{3}+d^{3}=0\). Zbl 1031.11015 Gar-el, Rachel; Vaserstein, Leonid 2 2002 Two-dimensional representations of the free group in two generators over an arbitrary field. Zbl 1007.20021 Vaserstein, L.; Wheland, E. 2 2000 Quantum \((abc)\)-theorems. Zbl 0990.11015 Vaserstein, L. N. 1 2000 Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017 Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel 3 1998 Rigid relations in \(\text{GL}_2F\). Zbl 0944.20028 Vaserstein, L.; Wheland, E. 2 1998 Normal subgroups of classical groups over rings. Zbl 0843.20037 Vaserstein, Leonid N.; You, Hong 33 1995 Products of conjugacy classes of two by two matrices. Zbl 0840.20040 Vaserstein, L.; Wheland, E. 11 1995 Products of involutory matrices over rings. Zbl 0836.15006 Arlinghaus, F. A.; Vaserstein, L. N.; Hong, You 6 1995 Commutators in pseudo-orthogonal groups. Zbl 0847.20042 Arlinghaus, F. A.; Vaserstein, L. N.; You, Hong 2 1995 On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\). Zbl 0805.20042 Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 16 1994 On sums of three integral cubes. Zbl 0808.11075 Conn, W.; Vaserstein, L. N. 4 1994 Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002 Lyubich, Yuri I.; Vaserstein, Leonid N. 26 1993 Ramsey’s theorem and Waring’s problem for algebras over fields. Zbl 0817.12002 Vaserstein, L. N. 13 1992 Sums of three cubes. Zbl 0799.11039 Payne, G.; Vaserstein, L. N. 3 1992 Unstable \(K_ 1\)-theory of topological spaces is nilpotent. Zbl 0762.19002 Vaserstein, L. N. 1 1992 Work of Pere Menal on normal subgroups. Zbl 0790.20064 Arlinghaus, F. A.; Vaserstein, L. N. 1 1992 On symplectic groups over polynomial rings. Zbl 0725.20038 Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 19 1991 Sums of cubes in polynomial rings. Zbl 0711.11013 Vaserstein, L. N. 9 1991 On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices. Zbl 0724.20034 Menal, Pere; Vaserstein, Leonid N. 4 1991 Commutators and companion matrices over rings of stable rank 1. Zbl 0713.15003 Vaserstein, L. N.; Wheland, E. 34 1990 The subnormal structure of general linear groups over rings. Zbl 0711.20030 Vaserstein, L. N. 16 1990 Factorization of invertible matrices over rings of stable rank one. Zbl 0705.15004 Vaserstein, Leonid N.; Wheland, Ethel 9 1990 On the structure of \(GL_ 2\) over stable range one rings. Zbl 0702.20037 Menal, Pere; Vaserstein, Leonid N. 5 1990 On normal subgroups of \(GL_ 2\) over rings with many units. Zbl 0697.20040 Vaserstein, L. N. 4 1990 Normal subgroups of symplectic groups over rings. Zbl 0669.20040 Vaserstein, L. N. 19 1989 Commutators in linear groups. Zbl 0676.20024 Dennis, R. K.; Vaserstein, L. N. 16 1989 Non-commutative number theory. Zbl 0666.10032 Vaserstein, L. N. 9 1989 On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices. Zbl 0662.20039 Menal, Pere; Vaserstein, Leonid N. 4 1989 Linear algebra and algebraic K-theory. Zbl 0669.15001 Vaserstein, L. N. 2 1989 Normal subgroups of gauge groups. Zbl 0679.22013 Vaserstein, L. N. 1 1989 Normal subgroups of classical groups over rings and gauge groups. Zbl 0676.20025 Vaserstein, L. N. 1 1989 On a question of M. Newman on the number of commutators. Zbl 0649.20048 Dennis, R. K.; Vaserstein, L. N. 45 1988 Absolute stable rank and Witt cancellation for noncommutative rings. Zbl 0639.16015 Magurn, B. A.; van der Kallen, Wilberd; Vaserstein, L. N. 31 1988 Normal subgroups of orthogonal groups over commutative rings. Zbl 0654.20052 Vaserstein, L. N. 19 1988 Reduction of a matrix depending on parameters to a diagonal form by addition operations. Zbl 0657.55005 Vaserstein, L. N. 19 1988 Subnormal structure of the general linear groups over Banach algebras. Zbl 0653.20050 Vaserstein, Leonid N. 10 1988 Matrix zeros of quadratic equations. Zbl 0657.13005 Dafni, Galia; Vaserstein, Leonid 3 1988 Normal subgroups of classical groups over Banach algebras. Zbl 0708.46047 Vaserstein, Leonid N. 3 1988 Every integer is a sum or difference of 28 integral eighth powers. Zbl 0634.10042 Vaserstein, L. N. 3 1988 Waring’s problem for algebras over fields. Zbl 0624.10049 Vaserstein, L. N. 13 1987 On the sum of powers of matrices. Zbl 0637.10041 Vaserstein, L. N. 12 1987 Computation of \(K_ 1\) via Mennicke symbols. Zbl 0614.16018 Vaserstein, Leonid N. 12 1987 Every integral matrix is the sum of three squares. Zbl 0603.10050 Vaserstein, Leonid N. 8 1987 Prestabilization for \(K_ 1\) of Banach algebras. Zbl 0629.20021 Vaserstein, L. N.; Magurn, B. A. 2 1987 On normal subgroups of Chevalley groups over commutative rings. Zbl 0578.20036 Vaserstein, Leonid N. 52 1986 Operations on orbits of unimodular vectors. Zbl 0592.20053 Vaserstein, Leonid N. 29 1986 Normal subgroups of the general linear groups over Banach algebras. Zbl 0589.20030 Vaserstein, L. N. 18 1986 Normal subgroups of the general linear groups over von Neumann regular rings. Zbl 0594.16007 Vaserstein, L. N. 14 1986 The subnormal structure of general linear groups. Zbl 0601.20046 Vaserstein, L. N. 14 1986 Vector bundles and projective modules. Zbl 0592.55012 Vaserstein, Leonid N. 13 1986 Commutators in ideals of trace class operators. Zbl 0602.47032 Anderson, Joel; Vaserstein, L. N. 8 1986 On \(K_ 1\)-theory of the Euclidean space. Zbl 0611.18007 Thurston, William P.; Vaserstein, Leonid N. 7 1986 An answer to a question of M. Newman on matrix completion. Zbl 0601.15011 Vaserstein, L. N. 5 1986 On \(K_ 1\)-theory of topological spaces. Zbl 0594.18013 Vaserstein, L. N. 4 1986 On the absolute stable range of rings of continuous functions. Zbl 0592.18006 Swan, R. G.; Vaserstein, L. N. 3 1986 On arithmetic subgroups of simple algebraic groups. Zbl 0594.20038 Vaserstein, L. N. 1 1985 On full subgroups of Chevalley groups. Zbl 0598.20051 Vaserstein, Leonid N. 1 1985 Bass’s first stable range condition. Zbl 0547.16017 Vaserstein, L. N. 81 1984 Congruence properties of Zariski-dense subgroups. I. Zbl 0551.20029 Matthews, C. R.; Vaserstein, L. N.; Weisfeiler, Boris 54 1984 The stable range of \(C^*\)-algebras. Zbl 0559.46025 Herman, Richard H.; Vaserstein, Leonid N. 31 1984 Classical groups over rings. Zbl 0577.20033 Vaserstein, L. N. 3 1984 Generalized Euclidean group rings. Zbl 0527.16007 Dennis, Keith; Magurn, Bruce; Vaserstein, Leonid 3 1984 Units in Whitehead groups of finite groups. Zbl 0517.16011 Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid 8 1983 On full subgroups in the sense of O’Meara. Zbl 0488.20035 Vaserstein, L. N. 5 1982 On the normal subgroups of \(GL_ n\) over a ring. Zbl 0464.20030 Vaserstein, L. N. 47 1981 Serre’s problem on projective modules over polynomial rings, and algebraic K-theory. Zbl 0379.13009 Vaserstein, L. N.; Suslin, A. A. 65 1978 Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0338.13015 Vaserstein, L. N.; Suslin, A. A. 44 1976 Foundations of algebraic \(K\)-theory. Zbl 0359.18015 Vaseršteĭn, L. N. 5 1976 Stabilization for classical groups over rings. Zbl 0305.18007 Vaserstein, L. N. 8 1975 Über die Stabilisierung für den Milnorschen \(K_2\)-Funktor. Zbl 0326.18009 Vaserstein, L. N. 2 1975 The structure of classical arithmetic groups of rank greater than one. Zbl 0291.14016 Vaserstein, L. N. 30 1974 Stabilisierung für klassische Gruppen über Ringen. Zbl 0287.18015 Vaserstein, L. N. 5 1974 On the group \(SL_2\) over Dedekind rings of arithmetic type. Zbl 0359.20027 Vaserstein, L. N. 42 1973 Aufbau klassischer arithmetischer Gruppen vom Rang größer als 1. Zbl 0277.14018 Vaserstein, L. N. 5 1973 On the normal subgroups of the orthogonal group over a ring with involution. (Über normale Untergruppen einer orthogonalen Gruppe über einem Ring mit Involution.) Zbl 0239.20059 Vaserstein, L. N.; Mikhalev, A. V. 7 1972 Stable rank of rings and dimensionality of topological spaces. Zbl 0239.16028 Vaserstein, L. N. 144 1971 Stabilization of unitary and orthogonal groups over a ring with involution. Zbl 0253.20066 Vaserstein, L. N. 32 1971 On the stabilization of the general linear group over a ring. Zbl 0238.20057 Vaserstein, L. N. 67 1970 Über invariante Maße einiger Markovscher Operatoren, die eine homogene zufällige Umgebung beschreiben. Zbl 0306.60043 Vaserstein, L. N.; Leontovic, A. M. 4 1970 Markovian processes on countable space product describing large systems of automata. Zbl 0273.60054 Vaserstein, L. N. 73 1969 \(K_ 1\) theory and the congruence problem. Zbl 0195.32202 Vaserstein, L. N. 9 1969 \(K_1\)-theory and the congruence problem. (Die \(K_1\)-Theorie und ein Kongruenzproblem.) Zbl 0177.04301 Vaserstein, L. N. 3 1969 On the congruence problem for classical groups. Zbl 0279.20037 Vaserstein, L. N. 2 1969 The congruence problem for a unitary group of rank \(\geq 2\). Zbl 0256.20063 Vaserstein, L. N. 1 1969 On groups possessing property T. Zbl 0232.20087 Vaserstein, L. N. 2 1968 all cited Publications top 5 cited Publications all top 5 Cited by 890 Authors 47 Vaserstein, Leonid N. 42 Vavilov, Nikolaĭ Aleksandrovich 31 Rao, Ravi A. 16 Mason, Alexander W. 14 Stepanov, Alexeĭ Vladimirovich 13 Mortini, Raymond 13 You, Hong 12 Gallardo, Luis Henri 12 Hazrat, Roozbeh 12 Sharma, Sampat 12 Zhang, Zuhong 10 Chen, Huanyin 10 Jose, Selby 10 Preusser, Raimund 9 Rupp, Rudolf 8 Bak, Anthony 8 Bourgain, Jean 8 Garge, Anuradha S. 8 Lam, Tsit-Yuen 8 Menal, Pere 8 Stavrova, Anastasia K. 7 Ara, Pere 7 Brudnyi, Alexander 7 Corach, Gustavo 7 Gamburd, Alexander 7 Khurana, Dinesh 7 Kontorovich, Alex V. 7 Kutzschebauch, Frank 7 Lyubich, Yuriĭ Il’ich 7 Plotkin, Eugene 7 Sasane, Amol J. 7 Sinchuk, Sergeĭ Sergeevich 7 Słowik, Roksana 7 Suárez, Fernando Daniel 7 Wei, Junchao 6 Basu, Rabeya 6 Chattopadhyay, Pratyusha 6 Jespers, Eric 6 Keshari, Manoj Kumar 6 Lubotzky, Alexander 6 Magurn, Bruce A. 6 Sarnak, Peter Clive 5 Ambily, Ambattu Asokan 5 Car, Mireille 5 Frisch, Sophie 5 Goodearl, Kenneth R. 5 Gvozdevsky, Pavel 5 Ivarsson, Björn 5 Mai Hoang Bien 5 Oh, Hee 5 Pardo, Enrique 5 Shchedryk, Volodymyr P. 5 Sridharan, Raja 5 Van der Kallen, Wilberd 5 Wheland, Ethel R. 4 Bunina, Elena Igor’evna 4 Fasel, Jean 4 Hinson, Edward K. 4 Kassabov, Martin D. 4 Katre, Shashikant A. 4 Louis, Pierre-Yves 4 Mary, Xavier 4 Nguyen Thi Thai Ha 4 Nicholson, W. Keith 4 Sawa, Masanori 4 Sehgal, Sudarshan Kumar 4 Suslin, Andreĭ Aleksandrovich 4 Syed, Tariq 4 Trương Hữu Dũng 4 Yadav, Sunil Kr 4 Ye, Shengkui 4 Yu, Hua-Ping 4 Yu, Weibo 3 Avni, Nir 3 Bannai, Eiichi 3 Bannai, Etsuko 3 Chakraborty, Kuntal 3 Das, Mrinal Kanti 3 Gordeev, Nikolai L. 3 Gupta, Anjan Kumar 3 Guyot, Luc 3 James, Donald G. 3 Kakde, Mahesh 3 Knüppel, Frieder 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Larsen, Michael Jeffrey 3 Leal, Guilherme 3 Luzgarev, A. Yu. 3 Meiri, Chen 3 Munk, Axel 3 Nielsen, Pace P. 3 Onn, Uri 3 Pedersen, Gert Kjærgård 3 Perera, Francesc 3 Rao, Dhvanita R. 3 Ritter, Jürgen 3 Shatalova, Oksana A. 3 Singla, Pooja 3 Son, Tran Nam 3 Sudo, Takahiro ...and 790 more Authors all top 5 Cited in 243 Serials 86 Journal of Algebra 69 Journal of Pure and Applied Algebra 50 Communications in Algebra 44 Linear Algebra and its Applications 30 Journal of Mathematical Sciences (New York) 25 Proceedings of the American Mathematical Society 20 Inventiones Mathematicae 18 Transactions of the American Mathematical Society 17 Linear and Multilinear Algebra 17 St. Petersburg Mathematical Journal 16 Journal of Algebra and its Applications 13 Israel Journal of Mathematics 12 Journal of Functional Analysis 12 Journal of Soviet Mathematics 11 Advances in Mathematics 11 Mathematische Annalen 11 \(K\)-Theory 9 Ukrainian Mathematical Journal 9 Journal of \(K\)-Theory 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Journal of Number Theory 8 Mathematische Zeitschrift 7 Duke Mathematical Journal 7 Topology and its Applications 7 Stochastic Processes and their Applications 7 Journal of Group Theory 6 Mathematics of Computation 6 Archiv der Mathematik 6 Bulletin of the London Mathematical Society 5 Indian Journal of Pure & Applied Mathematics 5 Rocky Mountain Journal of Mathematics 5 Integral Equations and Operator Theory 5 Results in Mathematics 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Bulletin of the American Mathematical Society. New Series 5 Algebras and Representation Theory 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Mathematical Analysis and Applications 4 Glasgow Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 European Journal of Combinatorics 4 Indagationes Mathematicae. New Series 4 International Electronic Journal of Algebra (IEJA) 3 Bulletin of the Australian Mathematical Society 3 Algebra and Logic 3 Annales de l’Institut Fourier 3 Applied Mathematics and Computation 3 Compositio Mathematica 3 Functiones et Approximatio. Commentarii Mathematici 3 Geometriae Dedicata 3 Monatshefte für Mathematik 3 Rendiconti del Seminario Matematico della Università di Padova 3 Theoretical Computer Science 3 Acta Applicandae Mathematicae 3 International Journal of Mathematics 3 International Journal of Algebra and Computation 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Vestnik St. Petersburg University. Mathematics 3 Documenta Mathematica 3 Algebraic & Geometric Topology 3 Portugaliae Mathematica. Nova Série 3 Journal of Topology 2 Chaos, Solitons and Fractals 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica 2 Acta Mathematica Vietnamica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Automatica 2 Functional Analysis and its Applications 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Economic Theory 2 Journal of Geometry 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Statistical Planning and Inference 2 Memoirs of the American Mathematical Society 2 Siberian Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 Graphs and Combinatorics 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 MCSS. Mathematics of Control, Signals, and Systems 2 Forum Mathematicum 2 Science in China. Series A 2 Geometric and Functional Analysis. GAFA 2 Journal of Mathematical Imaging and Vision 2 Journal of Algebraic Combinatorics 2 Applied Mathematics. Series B (English Edition) 2 Algebra Colloquium 2 Filomat 2 Finite Fields and their Applications 2 The Electronic Journal of Combinatorics 2 Izvestiya: Mathematics 2 Doklady Mathematics 2 Journal of the European Mathematical Society (JEMS) ...and 143 more Serials all top 5 Cited in 55 Fields 328 Group theory and generalizations (20-XX) 201 \(K\)-theory (19-XX) 154 Number theory (11-XX) 142 Commutative algebra (13-XX) 138 Associative rings and algebras (16-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 95 Functional analysis (46-XX) 58 Algebraic geometry (14-XX) 46 Category theory; homological algebra (18-XX) 38 Combinatorics (05-XX) 37 Probability theory and stochastic processes (60-XX) 29 Topological groups, Lie groups (22-XX) 26 Algebraic topology (55-XX) 26 Manifolds and cell complexes (57-XX) 18 Nonassociative rings and algebras (17-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Operator theory (47-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Statistics (62-XX) 15 Computer science (68-XX) 14 Functions of a complex variable (30-XX) 12 Mathematical logic and foundations (03-XX) 12 Convex and discrete geometry (52-XX) 12 Numerical analysis (65-XX) 11 Geometry (51-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Field theory and polynomials (12-XX) 8 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Systems theory; control (93-XX) 7 History and biography (01-XX) 7 General topology (54-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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