Edit Profile (opens in new tab) Vaserstein, Leonid N. Compute Distance To: Compute Author ID: vaserstein.leonid-n Published as: Vaserstein, L. N.; Vaserstein, Leonid N.; Vaserstein, Leonid; Vaserstein, L.; Vaseršteĭn, L. N. External Links: MGP · Wikidata · GND Documents Indexed: 116 Publications since 1968, including 1 Book Reviewing Activity: 781 Reviews Co-Authors: 39 Co-Authors with 51 Joint Publications 926 Co-Co-Authors all top 5 Co-Authors 60 single-authored 8 Gallardo, Luis Henri 5 Magurn, Bruce A. 4 Arlinghaus, F. A. 3 Dennis, Roger Keith 3 Frisch, Sophie 3 Menal, Pere 3 Suslin, Andreĭ Aleksandrovich 3 Wheland, Ethel 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 1 Wheland, E. R. 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 4 Communications in Algebra 4 Functional Analysis and its Applications 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 Tohoku 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 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) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 1,183 times in 719 Documents Cited by ▼ Year ▼ Stable rank of rings and dimensionality of topological spaces. Zbl 0239.16028Vaserstein, L. N. 116 1971 Bass’s first stable range condition. Zbl 0547.16017Vaserstein, L. N. 71 1984 On the stabilization of the general linear group over a ring. Zbl 0238.20057Vaserstein, L. N. 52 1970 Serre’s problem on projective modules over polynomial rings, and algebraic K-theory. Zbl 0379.13009Vaserstein, L. N.; Suslin, A. A. 49 1978 On normal subgroups of Chevalley groups over commutative rings. Zbl 0578.20036Vaserstein, Leonid N. 47 1986 Congruence properties of Zariski-dense subgroups. I. Zbl 0551.20029Matthews, C. R.; Vaserstein, L. N.; Weisfeiler, Boris 45 1984 On a question of M. Newman on the number of commutators. Zbl 0649.20048Dennis, R. K.; Vaserstein, L. N. 40 1988 On the group \(SL_2\) over Dedekind rings of arithmetic type. Zbl 0359.20027Vaserstein, L. N. 37 1973 Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0338.13015Vaserstein, L. N.; Suslin, A. A. 36 1976 Normal subgroups of classical groups over rings. Zbl 0843.20037Vaserstein, Leonid N.; You, Hong 33 1995 Absolute stable rank and Witt cancellation for noncommutative rings. Zbl 0639.16015Magurn, B. A.; van der Kallen, Wilberd; Vaserstein, L. N. 29 1988 The structure of classical arithmetic groups of rank greater than one. Zbl 0291.14016Vaserstein, L. N. 28 1974 Operations on orbits of unimodular vectors. Zbl 0592.20053Vaserstein, Leonid N. 27 1986 Commutators and companion matrices over rings of stable rank 1. Zbl 0713.15003Vaserstein, L. N.; Wheland, E. 27 1990 The stable range of \(C^*\)-algebras. Zbl 0559.46025Herman, Richard H.; Vaserstein, Leonid N. 26 1984 Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002Lyubich, Yuri I.; Vaserstein, Leonid N. 23 1993 Stabilization of unitary and orthogonal groups over a ring with involution. Zbl 0253.20066Vaserstein, L. N. 23 1971 Normal subgroups of symplectic groups over rings. Zbl 0669.20040Vaserstein, L. N. 20 1989 Normal subgroups of orthogonal groups over commutative rings. Zbl 0654.20052Vaserstein, L. N. 19 1988 On symplectic groups over polynomial rings. Zbl 0725.20038Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 17 1991 Normal subgroups of the general linear groups over Banach algebras. Zbl 0589.20030Vaserstein, L. N. 16 1986 Markovian processes on countable space product describing large systems of automata. Zbl 0273.60054Vaserstein, L. N. 16 1969 The subnormal structure of general linear groups over rings. Zbl 0711.20030Vaserstein, L. N. 16 1990 Reduction of a matrix depending on parameters to a diagonal form by addition operations. Zbl 0657.55005Vaserstein, L. N. 16 1988 The subnormal structure of general linear groups. Zbl 0601.20046Vaserstein, L. N. 14 1986 On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\). Zbl 0805.20042Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 14 1994 Ramsey’s theorem and Waring’s problem for algebras over fields. Zbl 0817.12002Vaserstein, L. N. 13 1992 On the Whitehead determinant for semi-local rings. Zbl 1059.19002Vaserstein, L. N. 13 2005 Waring’s problem for algebras over fields. Zbl 0624.10049Vaserstein, L. N. 13 1987 Normal subgroups of the general linear groups over von Neumann regular rings. Zbl 0594.16007Vaserstein, L. N. 12 1986 Computation of \(K_ 1\) via Mennicke symbols. Zbl 0614.16018Vaserstein, Leonid N. 12 1987 Commutators in linear groups. Zbl 0676.20024Dennis, R. K.; Vaserstein, L. N. 12 1989 On the normal subgroups of \(GL_ n\) over a ring. Zbl 0464.20030Vaserstein, L. N. 11 1981 Subnormal structure of the general linear groups over Banach algebras. Zbl 0653.20050Vaserstein, Leonid N. 10 1988 The strict Waring problem for polynomial rings. Zbl 1220.11151Gallardo, Luis H.; Vaserstein, Leonid N. 9 2008 \(K_ 1\) theory and the congruence problem. Zbl 0195.32202Vaserstein, L. N. 9 1969 Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 9 2009 Sums of cubes in polynomial rings. Zbl 0711.11013Vaserstein, L. N. 9 1991 Commutators in ideals of trace class operators. Zbl 0602.47032Anderson, Joel; Vaserstein, L. N. 8 1986 Stabilization for classical groups over rings. Zbl 0305.18007Vaserstein, L. N. 8 1975 Factorization of invertible matrices over rings of stable rank one. Zbl 0705.15004Vaserstein, Leonid N.; Wheland, Ethel 8 1990 On the sum of powers of matrices. Zbl 0637.10041Vaserstein, L. N. 8 1987 Vector bundles and projective modules. Zbl 0592.55012Vaserstein, Leonid N. 7 1986 On \(K_ 1\)-theory of the Euclidean space. Zbl 0611.18007Thurston, William P.; Vaserstein, Leonid N. 7 1986 Units in Whitehead groups of finite groups. Zbl 0517.16011Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid 7 1983 Products of conjugacy classes of two by two matrices. Zbl 0840.20040Vaserstein, L.; Wheland, E. 7 1995 A note on Bruhat decomposition of \(\mathrm{GL}(n)\) over local principal ideal rings. Zbl 1112.15020Onn, 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 0239.20059Vaserstein, L. N.; Mikhalev, A. V. 7 1972 Every integral matrix is the sum of three squares. Zbl 0603.10050Vaserstein, Leonid N. 6 1987 Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups. Zbl 1221.11082Vaserstein, Leonid 6 2010 Parametrization of Pythagorean triples by a single triple of polynomials. Zbl 1215.11025Frisch, Sophie; Vaserstein, Leonid 6 2008 An answer to a question of M. Newman on matrix completion. Zbl 0601.15011Vaserstein, L. N. 5 1986 On full subgroups in the sense of O’Meara. Zbl 0488.20035Vaserstein, L. N. 5 1982 On the structure of \(GL_ 2\) over stable range one rings. Zbl 0702.20037Menal, Pere; Vaserstein, Leonid N. 5 1990 On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices. Zbl 0662.20039Menal, Pere; Vaserstein, Leonid N. 4 1989 Foundations of algebraic \(K\)-theory. Zbl 0359.18015Vaseršteĭn, L. N. 4 1976 Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\). Zbl 1166.53002Sakkalis, Takis; Farouki, Rida T.; Vaserstein, Leonid 4 2009 On normal subgroups of \(GL_ 2\) over rings with many units. Zbl 0697.20040Vaserstein, L. N. 4 1990 On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices. Zbl 0724.20034Menal, Pere; Vaserstein, Leonid N. 4 1991 About the period of Bell numbers modulo a prime. Zbl 1195.11034Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N. 4 2008 Classical groups over rings. Zbl 0577.20033Vaserstein, L. N. 3 1984 On the absolute stable range of rings of continuous functions. Zbl 0592.18006Swan, R. G.; Vaserstein, L. N. 3 1986 Non-commutative number theory. Zbl 0666.10032Vaserstein, L. N. 3 1989 Generalized Euclidean group rings. Zbl 0527.16007Dennis, Keith; Magurn, Bruce; Vaserstein, Leonid 3 1984 \(K_1\)-theory and the congruence problem. (Die \(K_1\)-Theorie und ein Kongruenzproblem.) Zbl 0177.04301Vaserstein, L. N. 3 1969 Aufbau klassischer arithmetischer Gruppen vom Rang größer als 1. Zbl 0277.14018Vaserstein, L. N. 3 1973 Normal subgroups of classical groups over Banach algebras. Zbl 0708.46047Vaserstein, Leonid N. 3 1988 Every integer is a sum or difference of 28 integral eighth powers. Zbl 0634.10042Vaserstein, L. N. 3 1988 Linear algebra and algebraic K-theory. Zbl 0669.15001Vaserstein, L. N. 2 1989 Rigid relations in \(\text{GL}_2F\). Zbl 0944.20028Vaserstein, L.; Wheland, E. 2 1998 Two-dimensional representations of the free group in two generators over an arbitrary field. Zbl 1007.20021Vaserstein, L.; Wheland, E. 2 2000 Sums of three cubes. Zbl 0799.11039Payne, G.; Vaserstein, L. N. 2 1992 On sums of three integral cubes. Zbl 0808.11075Conn, W.; Vaserstein, L. N. 2 1994 Products of involutory matrices over rings. Zbl 0836.15006Arlinghaus, F. A.; Vaserstein, L. N.; Hong, You 2 1995 Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel 2 1998 Polynomial parametrization of Pythagorean tuples. Zbl 1237.11015Vaserstein, Leonid; Sakkalis, Takis; Frisch, Sophie 2 2010 On the congruence problem for classical groups. Zbl 0279.20037Vaserstein, L. N. 2 1969 On the Diophantine equation \(a^{3}+b^{3}+c^{3}+d^{3}=0\). Zbl 1031.11015Gar-el, Rachel; Vaserstein, Leonid 2 2002 Prestabilization for \(K_ 1\) of Banach algebras. Zbl 0629.20021Vaserstein, L. N.; Magurn, B. A. 2 1987 Matrix zeros of quadratic equations. Zbl 0657.13005Dafni, Galia; Vaserstein, Leonid 2 1988 On \(K_ 1\)-theory of topological spaces. Zbl 0594.18013Vaserstein, L. N. 1 1986 On arithmetic subgroups of simple algebraic groups. Zbl 0594.20038Vaserstein, L. N. 1 1985 On full subgroups of Chevalley groups. Zbl 0598.20051Vaserstein, Leonid N. 1 1985 Normal subgroups of classical groups over rings and gauge groups. Zbl 0676.20025Vaserstein, L. N. 1 1989 Normal subgroups of gauge groups. Zbl 0679.22013Vaserstein, L. N. 1 1989 Work of Pere Menal on normal subgroups. Zbl 0790.20064Arlinghaus, F. A.; Vaserstein, L. N. 1 1992 Quantum \((abc)\)-theorems. Zbl 0990.11015Vaserstein, L. N. 1 2000 Unstable \(K_ 1\)-theory of topological spaces is nilpotent. Zbl 0762.19002Vaserstein, L. N. 1 1992 Commutators in pseudo-orthogonal groups. Zbl 0847.20042Arlinghaus, F. A.; Vaserstein, L. N.; You, Hong 1 1995 Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\). Zbl 1127.11079Gallardo, Luis; Rahavandrainy, Olivier; Vaserstein, Leonid 1 2007 The congruence problem for a unitary group of rank \(\geq 2\). Zbl 0256.20063Vaserstein, L. N. 1 1969 Über invariante Maße einiger Markovscher Operatoren, die eine homogene zufällige Umgebung beschreiben. Zbl 0306.60043Vaserstein, L. N.; Leontovic, A. M. 1 1970 Vanishing polynomial sums. Zbl 1073.12001Vaserstein, L. N.; Wheland, E. R. 1 2003 Über die Stabilisierung für den Milnorschen \(K_2\)-Funktor. Zbl 0326.18009Vaserstein, L. N. 1 1975 The stable rank of pullbacks. Zbl 1317.19001Vaserstein, L. N. 1 2014 The stable rank of pullbacks. Zbl 1317.19001Vaserstein, L. N. 1 2014 Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups. Zbl 1221.11082Vaserstein, Leonid 6 2010 Polynomial parametrization of Pythagorean tuples. Zbl 1237.11015Vaserstein, Leonid; Sakkalis, Takis; Frisch, Sophie 2 2010 Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 9 2009 Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\). Zbl 1166.53002Sakkalis, Takis; Farouki, Rida T.; Vaserstein, Leonid 4 2009 The strict Waring problem for polynomial rings. Zbl 1220.11151Gallardo, Luis H.; Vaserstein, Leonid N. 9 2008 Parametrization of Pythagorean triples by a single triple of polynomials. Zbl 1215.11025Frisch, Sophie; Vaserstein, Leonid 6 2008 About the period of Bell numbers modulo a prime. Zbl 1195.11034Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N. 4 2008 Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\). Zbl 1127.11079Gallardo, Luis; Rahavandrainy, Olivier; Vaserstein, Leonid 1 2007 A note on Bruhat decomposition of \(\mathrm{GL}(n)\) over local principal ideal rings. Zbl 1112.15020Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 7 2006 On the Whitehead determinant for semi-local rings. Zbl 1059.19002Vaserstein, L. N. 13 2005 Vanishing polynomial sums. Zbl 1073.12001Vaserstein, L. N.; Wheland, E. R. 1 2003 On the Diophantine equation \(a^{3}+b^{3}+c^{3}+d^{3}=0\). Zbl 1031.11015Gar-el, Rachel; Vaserstein, Leonid 2 2002 Two-dimensional representations of the free group in two generators over an arbitrary field. Zbl 1007.20021Vaserstein, L.; Wheland, E. 2 2000 Quantum \((abc)\)-theorems. Zbl 0990.11015Vaserstein, L. N. 1 2000 Rigid relations in \(\text{GL}_2F\). Zbl 0944.20028Vaserstein, L.; Wheland, E. 2 1998 Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel 2 1998 Normal subgroups of classical groups over rings. Zbl 0843.20037Vaserstein, Leonid N.; You, Hong 33 1995 Products of conjugacy classes of two by two matrices. Zbl 0840.20040Vaserstein, L.; Wheland, E. 7 1995 Products of involutory matrices over rings. Zbl 0836.15006Arlinghaus, F. A.; Vaserstein, L. N.; Hong, You 2 1995 Commutators in pseudo-orthogonal groups. Zbl 0847.20042Arlinghaus, F. A.; Vaserstein, L. N.; You, Hong 1 1995 On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\). Zbl 0805.20042Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 14 1994 On sums of three integral cubes. Zbl 0808.11075Conn, W.; Vaserstein, L. N. 2 1994 Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002Lyubich, Yuri I.; Vaserstein, Leonid N. 23 1993 Ramsey’s theorem and Waring’s problem for algebras over fields. Zbl 0817.12002Vaserstein, L. N. 13 1992 Sums of three cubes. Zbl 0799.11039Payne, G.; Vaserstein, L. N. 2 1992 Work of Pere Menal on normal subgroups. Zbl 0790.20064Arlinghaus, F. A.; Vaserstein, L. N. 1 1992 Unstable \(K_ 1\)-theory of topological spaces is nilpotent. Zbl 0762.19002Vaserstein, L. N. 1 1992 On symplectic groups over polynomial rings. Zbl 0725.20038Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 17 1991 Sums of cubes in polynomial rings. Zbl 0711.11013Vaserstein, L. N. 9 1991 On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices. Zbl 0724.20034Menal, Pere; Vaserstein, Leonid N. 4 1991 Commutators and companion matrices over rings of stable rank 1. Zbl 0713.15003Vaserstein, L. N.; Wheland, E. 27 1990 The subnormal structure of general linear groups over rings. Zbl 0711.20030Vaserstein, L. N. 16 1990 Factorization of invertible matrices over rings of stable rank one. Zbl 0705.15004Vaserstein, Leonid N.; Wheland, Ethel 8 1990 On the structure of \(GL_ 2\) over stable range one rings. Zbl 0702.20037Menal, Pere; Vaserstein, Leonid N. 5 1990 On normal subgroups of \(GL_ 2\) over rings with many units. Zbl 0697.20040Vaserstein, L. N. 4 1990 Normal subgroups of symplectic groups over rings. Zbl 0669.20040Vaserstein, L. N. 20 1989 Commutators in linear groups. Zbl 0676.20024Dennis, R. K.; Vaserstein, L. N. 12 1989 On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices. Zbl 0662.20039Menal, Pere; Vaserstein, Leonid N. 4 1989 Non-commutative number theory. Zbl 0666.10032Vaserstein, L. N. 3 1989 Linear algebra and algebraic K-theory. Zbl 0669.15001Vaserstein, L. N. 2 1989 Normal subgroups of classical groups over rings and gauge groups. Zbl 0676.20025Vaserstein, L. N. 1 1989 Normal subgroups of gauge groups. Zbl 0679.22013Vaserstein, L. N. 1 1989 On a question of M. Newman on the number of commutators. Zbl 0649.20048Dennis, R. K.; Vaserstein, L. N. 40 1988 Absolute stable rank and Witt cancellation for noncommutative rings. Zbl 0639.16015Magurn, B. A.; van der Kallen, Wilberd; Vaserstein, L. N. 29 1988 Normal subgroups of orthogonal groups over commutative rings. Zbl 0654.20052Vaserstein, L. N. 19 1988 Reduction of a matrix depending on parameters to a diagonal form by addition operations. Zbl 0657.55005Vaserstein, L. N. 16 1988 Subnormal structure of the general linear groups over Banach algebras. Zbl 0653.20050Vaserstein, Leonid N. 10 1988 Normal subgroups of classical groups over Banach algebras. Zbl 0708.46047Vaserstein, Leonid N. 3 1988 Every integer is a sum or difference of 28 integral eighth powers. Zbl 0634.10042Vaserstein, L. N. 3 1988 Matrix zeros of quadratic equations. Zbl 0657.13005Dafni, Galia; Vaserstein, Leonid 2 1988 Waring’s problem for algebras over fields. Zbl 0624.10049Vaserstein, L. N. 13 1987 Computation of \(K_ 1\) via Mennicke symbols. Zbl 0614.16018Vaserstein, Leonid N. 12 1987 On the sum of powers of matrices. Zbl 0637.10041Vaserstein, L. N. 8 1987 Every integral matrix is the sum of three squares. Zbl 0603.10050Vaserstein, Leonid N. 6 1987 Prestabilization for \(K_ 1\) of Banach algebras. Zbl 0629.20021Vaserstein, L. N.; Magurn, B. A. 2 1987 On normal subgroups of Chevalley groups over commutative rings. Zbl 0578.20036Vaserstein, Leonid N. 47 1986 Operations on orbits of unimodular vectors. Zbl 0592.20053Vaserstein, Leonid N. 27 1986 Normal subgroups of the general linear groups over Banach algebras. Zbl 0589.20030Vaserstein, L. N. 16 1986 The subnormal structure of general linear groups. Zbl 0601.20046Vaserstein, L. N. 14 1986 Normal subgroups of the general linear groups over von Neumann regular rings. Zbl 0594.16007Vaserstein, L. N. 12 1986 Commutators in ideals of trace class operators. Zbl 0602.47032Anderson, Joel; Vaserstein, L. N. 8 1986 Vector bundles and projective modules. Zbl 0592.55012Vaserstein, Leonid N. 7 1986 On \(K_ 1\)-theory of the Euclidean space. Zbl 0611.18007Thurston, William P.; Vaserstein, Leonid N. 7 1986 An answer to a question of M. Newman on matrix completion. Zbl 0601.15011Vaserstein, L. N. 5 1986 On the absolute stable range of rings of continuous functions. Zbl 0592.18006Swan, R. G.; Vaserstein, L. N. 3 1986 On \(K_ 1\)-theory of topological spaces. Zbl 0594.18013Vaserstein, L. N. 1 1986 On arithmetic subgroups of simple algebraic groups. Zbl 0594.20038Vaserstein, L. N. 1 1985 On full subgroups of Chevalley groups. Zbl 0598.20051Vaserstein, Leonid N. 1 1985 Bass’s first stable range condition. Zbl 0547.16017Vaserstein, L. N. 71 1984 Congruence properties of Zariski-dense subgroups. I. Zbl 0551.20029Matthews, C. R.; Vaserstein, L. N.; Weisfeiler, Boris 45 1984 The stable range of \(C^*\)-algebras. Zbl 0559.46025Herman, Richard H.; Vaserstein, Leonid N. 26 1984 Classical groups over rings. Zbl 0577.20033Vaserstein, L. N. 3 1984 Generalized Euclidean group rings. Zbl 0527.16007Dennis, Keith; Magurn, Bruce; Vaserstein, Leonid 3 1984 Units in Whitehead groups of finite groups. Zbl 0517.16011Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid 7 1983 On full subgroups in the sense of O’Meara. Zbl 0488.20035Vaserstein, L. N. 5 1982 On the normal subgroups of \(GL_ n\) over a ring. Zbl 0464.20030Vaserstein, L. N. 11 1981 Serre’s problem on projective modules over polynomial rings, and algebraic K-theory. Zbl 0379.13009Vaserstein, L. N.; Suslin, A. A. 49 1978 Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0338.13015Vaserstein, L. N.; Suslin, A. A. 36 1976 Foundations of algebraic \(K\)-theory. Zbl 0359.18015Vaseršteĭn, L. N. 4 1976 Stabilization for classical groups over rings. Zbl 0305.18007Vaserstein, L. N. 8 1975 Über die Stabilisierung für den Milnorschen \(K_2\)-Funktor. Zbl 0326.18009Vaserstein, L. N. 1 1975 The structure of classical arithmetic groups of rank greater than one. Zbl 0291.14016Vaserstein, L. N. 28 1974 On the group \(SL_2\) over Dedekind rings of arithmetic type. Zbl 0359.20027Vaserstein, L. N. 37 1973 Aufbau klassischer arithmetischer Gruppen vom Rang größer als 1. Zbl 0277.14018Vaserstein, L. N. 3 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 0239.20059Vaserstein, L. N.; Mikhalev, A. V. 7 1972 Stable rank of rings and dimensionality of topological spaces. Zbl 0239.16028Vaserstein, L. N. 116 1971 Stabilization of unitary and orthogonal groups over a ring with involution. Zbl 0253.20066Vaserstein, L. N. 23 1971 On the stabilization of the general linear group over a ring. Zbl 0238.20057Vaserstein, L. N. 52 1970 Über invariante Maße einiger Markovscher Operatoren, die eine homogene zufällige Umgebung beschreiben. Zbl 0306.60043Vaserstein, L. N.; Leontovic, A. M. 1 1970 Markovian processes on countable space product describing large systems of automata. Zbl 0273.60054Vaserstein, L. N. 16 1969 \(K_ 1\) theory and the congruence problem. Zbl 0195.32202Vaserstein, L. N. 9 1969 \(K_1\)-theory and the congruence problem. (Die \(K_1\)-Theorie und ein Kongruenzproblem.) Zbl 0177.04301Vaserstein, L. N. 3 1969 On the congruence problem for classical groups. Zbl 0279.20037Vaserstein, L. N. 2 1969 The congruence problem for a unitary group of rank \(\geq 2\). Zbl 0256.20063Vaserstein, L. N. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 655 Authors 47 Vaserstein, Leonid N. 35 Vavilov, Nikolaĭ Aleksandrovich 26 Rao, Ravi A. 16 Mason, Alexander W. 14 Stepanov, Alexeĭ Vladimirovich 13 You, Hong 12 Hazrat, Roozbeh 11 Gallardo, Luis Henri 10 Chen, Huanyin 9 Jose, Selby 8 Bourgain, Jean 8 Mortini, Raymond 8 Zhang, Zuhong 7 Ara, Pere 7 Corach, Gustavo 7 Lyubich, Yuriĭ Il’ich 7 Menal, Pere 7 Sinchuk, Sergeĭ Sergeevich 7 Słowik, Roksana 7 Stavrova, Anastasia K. 7 Suárez, Fernando Daniel 7 Wei, Junchao 6 Bak, Anthony 6 Chattopadhyay, Pratyusha 6 Kontorovich, Alex V. 6 Lam, Tsit-Yuen 6 Lubotzky, Alexander 6 Magurn, Bruce A. 6 Preusser, Raimund 6 Rupp, Rudolf 5 Car, Mireille 5 Frisch, Sophie 5 Gamburd, Alexander 5 Garge, Anuradha S. 5 Goodearl, Kenneth R. 5 Jespers, Eric 5 Khurana, Dinesh 5 Kutzschebauch, Frank 5 Luzgarev, A. Yu. 5 Pardo, Enrique 5 Sarnak, Peter Clive 5 Sharma, Sampat 5 Van der Kallen, Wilberd 4 Basu, Rabeya 4 Brudnyi, Alexander 4 Hinson, Edward K. 4 Ivarsson, Björn 4 Kassabov, Martin 4 Katre, Shashikant A. 4 Keshari, Manoj Kumar 4 Nicholson, W. Keith 4 Oh, Hee 4 Plotkin, Eugene 4 Sehgal, Sudarshan Kumar 4 Sridharan, Raja 4 Yu, Hua-Ping 4 Yu, Weibo 3 Bannai, Eiichi 3 Bannai, Etsuko 3 Bunina, Elena Igor’evna 3 Das, Mrinal Kanti 3 Fasel, Jean 3 Gordeev, Nikolai L. 3 Gupta, Anjan 3 Guyot, Luc 3 James, Donald G. 3 Kakde, Mahesh 3 Knüppel, Frieder 3 Larsen, Michael Jeffrey 3 Leal, Guilherme 3 Onn, Uri 3 Pedersen, Gert Kjærgård 3 Perera, Francesc 3 Rao, Dhvanita R. 3 Ritter, Jürgen 3 Sasane, Amol J. 3 Sawa, Masanori 3 Singla, Pooja 3 Suslin, Andreĭ Aleksandrovich 3 Tong, Wenting 3 Wang, Zhou 3 Yadav, Sunil Kr 3 Ye, Shengkui 3 Zannier, Umberto M. 2 Avni, Nir 2 Belyakin, N. V. 2 Beyl, F. Rudolf 2 Bhatwadekar, Srikant M. 2 Breuillard, Emmanuel 2 Brown, Lawrence Gerald 2 Carral, Michel 2 Chen, Jianlong 2 Chen, Miaosen 2 Chinburg, Ted 2 Costa, Douglas L. 2 Dennis, Roger Keith 2 Drazin, Michael P. 2 Feintuch, Avraham 2 Fröberg, Ralf 2 Greferath, Marcus ...and 555 more Authors all top 5 Cited in 172 Serials 72 Journal of Algebra 59 Journal of Pure and Applied Algebra 45 Communications in Algebra 38 Linear Algebra and its Applications 26 Journal of Mathematical Sciences (New York) 25 Proceedings of the American Mathematical Society 19 Inventiones Mathematicae 17 Transactions of the American Mathematical Society 14 St. Petersburg Mathematical Journal 13 Linear and Multilinear Algebra 12 Journal of Soviet Mathematics 11 Israel Journal of Mathematics 11 Mathematische Annalen 11 \(K\)-Theory 10 Journal of Functional Analysis 9 Journal of \(K\)-Theory 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Advances in Mathematics 8 Mathematische Zeitschrift 7 Journal of Group Theory 7 Journal of Algebra and its Applications 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Topology and its Applications 5 Mathematics of Computation 5 Integral Equations and Operator Theory 5 Journal of Number Theory 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 Rocky Mountain Journal of Mathematics 4 Glasgow Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Results in Mathematics 4 European Journal of Combinatorics 4 Indagationes Mathematicae. New Series 3 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Algebra and Logic 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 Acta Applicandae Mathematicae 3 International Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Documenta Mathematica 3 Portugaliae Mathematica. Nova Série 3 International Electronic Journal of Algebra (IEJA) 2 Journal of Mathematical Analysis and Applications 2 Ukrainian Mathematical Journal 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Functional Analysis and its Applications 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Siberian Mathematical Journal 2 Theoretical Computer Science 2 Tohoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Graphs and Combinatorics 2 Journal of the American Mathematical Society 2 MCSS. Mathematics of Control, Signals, and Systems 2 Science in China. Series A 2 International Journal of Algebra and Computation 2 Geometric and Functional Analysis. GAFA 2 Stochastic Processes and their Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Vestnik St. Petersburg University. Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Algebra Colloquium 2 Finite Fields and their Applications 2 The Electronic Journal of Combinatorics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 International Journal of Number Theory 2 Communications in Mathematics 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Acta Arithmetica 1 Dissertationes Mathematicae 1 Fuzzy Sets and Systems 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences ...and 72 more Serials all top 5 Cited in 46 Fields 277 Group theory and generalizations (20-XX) 156 \(K\)-theory (19-XX) 122 Number theory (11-XX) 111 Associative rings and algebras (16-XX) 105 Commutative algebra (13-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 76 Functional analysis (46-XX) 47 Algebraic geometry (14-XX) 37 Category theory; homological algebra (18-XX) 27 Combinatorics (05-XX) 24 Topological groups, Lie groups (22-XX) 16 Algebraic topology (55-XX) 16 Manifolds and cell complexes (57-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Nonassociative rings and algebras (17-XX) 12 Operator theory (47-XX) 11 Geometry (51-XX) 11 Numerical analysis (65-XX) 10 Convex and discrete geometry (52-XX) 9 Probability theory and stochastic processes (60-XX) 7 Mathematical logic and foundations (03-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Field theory and polynomials (12-XX) 7 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 5 Computer science (68-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-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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