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Vaserstein, Leonid N.

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Author ID: vaserstein.leonid-n Recent zbMATH articles by "Vaserstein, Leonid N."
Published as: Vaserstein, L.; Vaserstein, L. N.; Vaserstein, Leonid; Vaserstein, Leonid N.; Vaseršteĭn, L. N.
External Links: MGP · Wikidata · GND
Documents Indexed: 116 Publications since 1968, including 1 Book
Reviewing Activity: 781 Reviews
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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

Publications by Year

Citations contained in zbMATH

95 Publications have been cited 1,140 times in 675 Documents Cited by Year
Stable rank of rings and dimensionality of topological spaces. Zbl 0239.16028
Vaserstein, L. N.
119
1971
Bass’s first stable range condition. Zbl 0547.16017
Vaserstein, L. N.
66
1984
On the stabilization of the general linear group over a ring. Zbl 0238.20057
Vaserstein, L. N.
50
1970
On normal subgroups of Chevalley groups over commutative rings. Zbl 0578.20036
Vaserstein, Leonid N.
48
1986
Congruence properties of Zariski-dense subgroups. I. Zbl 0551.20029
Matthews, C. R.; Vaserstein, L. N.; Weisfeiler, Boris
44
1984
Serre’s problem on projective modules over polynomial rings, and algebraic K-theory. Zbl 0379.13009
Vaserstein, L. N.; Suslin, A. A.
44
1978
On the group \(SL_2\) over Dedekind rings of arithmetic type. Zbl 0359.20027
Vaserstein, L. N.
38
1973
On a question of M. Newman on the number of commutators. Zbl 0649.20048
Dennis, R. K.; Vaserstein, L. N.
35
1988
Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0338.13015
Vaserstein, L. N.; Suslin, A. A.
34
1976
Normal subgroups of classical groups over rings. Zbl 0843.20037
Vaserstein, Leonid N.; You, Hong
33
1995
The stable range of \(C^*\)-algebras. Zbl 0559.46025
Herman, Richard H.; Vaserstein, Leonid N.
29
1984
Absolute stable rank and Witt cancellation for noncommutative rings. Zbl 0639.16015
Magurn, B. A.; van der Kallen, Wilberd; Vaserstein, L. N.
28
1988
The structure of classical arithmetic groups of rank greater than one. Zbl 0291.14016
Vaserstein, L. N.
27
1974
Operations on orbits of unimodular vectors. Zbl 0592.20053
Vaserstein, Leonid N.
26
1986
Commutators and companion matrices over rings of stable rank 1. Zbl 0713.15003
Vaserstein, L. N.; Wheland, E.
24
1990
Stabilization of unitary and orthogonal groups over a ring with involution. Zbl 0253.20066
Vaserstein, L. N.
21
1971
Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002
Lyubich, Yuri I.; Vaserstein, Leonid N.
19
1993
Normal subgroups of symplectic groups over rings. Zbl 0669.20040
Vaserstein, L. N.
19
1989
On the normal subgroups of \(GL_ n\) over a ring. Zbl 0464.20030
Vaserstein, L. N.
19
1981
Normal subgroups of orthogonal groups over commutative rings. Zbl 0654.20052
Vaserstein, L. N.
18
1988
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
15
1994
On symplectic groups over polynomial rings. Zbl 0725.20038
Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid
15
1991
The subnormal structure of general linear groups over rings. Zbl 0711.20030
Vaserstein, L. N.
15
1990
Normal subgroups of the general linear groups over Banach algebras. Zbl 0589.20030
Vaserstein, L. N.
15
1986
Markovian processes on countable space product describing large systems of automata. Zbl 0273.60054
Vaserstein, L. N.
15
1969
Reduction of a matrix depending on parameters to a diagonal form by addition operations. Zbl 0657.55005
Vaserstein, L. N.
14
1988
On the Whitehead determinant for semi-local rings. Zbl 1059.19002
Vaserstein, L. N.
13
2005
Ramsey’s theorem and Waring’s problem for algebras over fields. Zbl 0817.12002
Vaserstein, L. N.
13
1992
The subnormal structure of general linear groups. Zbl 0601.20046
Vaserstein, L. N.
13
1986
Commutators in linear groups. Zbl 0676.20024
Dennis, R. K.; Vaserstein, L. N.
12
1989
Waring’s problem for algebras over fields. Zbl 0624.10049
Vaserstein, L. N.
12
1987
Normal subgroups of the general linear groups over von Neumann regular rings. Zbl 0594.16007
Vaserstein, L. N.
12
1986
Subnormal structure of the general linear groups over Banach algebras. Zbl 0653.20050
Vaserstein, Leonid N.
10
1988
Computation of \(K_ 1\) via Mennicke symbols. Zbl 0614.16018
Vaserstein, Leonid N.
10
1987
Sums of cubes in polynomial rings. Zbl 0711.11013
Vaserstein, L. N.
9
1991
Stabilization for classical groups over rings. Zbl 0305.18007
Vaserstein, L. N.
9
1975
\(K_ 1\) theory and the congruence problem. Zbl 0195.32202
Vaserstein, L. N.
9
1969
Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013
Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid
8
2009
The strict Waring problem for polynomial rings. Zbl 1220.11151
Gallardo, Luis H.; Vaserstein, Leonid N.
8
2008
Factorization of invertible matrices over rings of stable rank one. Zbl 0705.15004
Vaserstein, Leonid N.; Wheland, Ethel
8
1990
Commutators in ideals of trace class operators. Zbl 0602.47032
Anderson, Joel; Vaserstein, L. N.
8
1986
Products of conjugacy classes of two by two matrices. Zbl 0840.20040
Vaserstein, L.; Wheland, E.
7
1995
On \(K_ 1\)-theory of the Euclidean space. Zbl 0611.18007
Thurston, William P.; Vaserstein, Leonid N.
7
1986
Vector bundles and projective modules. Zbl 0592.55012
Vaserstein, Leonid N.
7
1986
On the normal subgroups of the orthogonal group over a ring with involution. Zbl 0239.20059
Vaserstein, L. N.; Mikhalev, A. V.
7
1972
Parametrization of Pythagorean triples by a single triple of polynomials. Zbl 1215.11025
Frisch, Sophie; Vaserstein, Leonid
6
2008
Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups. Zbl 1221.11082
Vaserstein, Leonid
5
2010
On the structure of \(GL_ 2\) over stable range one rings. Zbl 0702.20037
Menal, Pere; Vaserstein, Leonid N.
5
1990
On the sum of powers of matrices. Zbl 0637.10041
Vaserstein, L. N.
5
1987
An answer to a question of M. Newman on matrix completion. Zbl 0601.15011
Vaserstein, L. N.
5
1986
Units in Whitehead groups of finite groups. Zbl 0517.16011
Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid
5
1983
On full subgroups in the sense of O’Meara. Zbl 0488.20035
Vaserstein, L. N.
5
1982
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
A note on Bruhat decomposition of \(\mathrm{GL}(n)\) over local principal ideal rings. Zbl 1112.15020
Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid
4
2006
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 normal subgroups of \(GL_ 2\) over rings with many units. Zbl 0697.20040
Vaserstein, L. N.
4
1990
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
Foundations of algebraic \(K\)-theory. Zbl 0359.18015
Vaseršteĭn, L. N.
4
1976
On the congruence problem for classical groups. Zbl 0279.20037
Vaserstein, L. N.
4
1969
Non-commutative number theory. Zbl 0666.10032
Vaserstein, L. N.
3
1989
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
Every integral matrix is the sum of three squares. Zbl 0603.10050
Vaserstein, Leonid N.
3
1987
On the absolute stable range of rings of continuous functions. Zbl 0592.18006
Swan, R. G.; Vaserstein, L. N.
3
1986
Classical groups over rings. Zbl 0577.20033
Vaserstein, L. N.
3
1984
Aufbau klassischer arithmetischer Gruppen vom Rang größer als 1. Zbl 0277.14018
Vaserstein, L. N.
3
1973
\(K_1\)-theory and the congruence problem. Zbl 0177.04301
Vaserstein, L. N.
3
1969
Polynomial parametrization of Pythagorean tuples. Zbl 1237.11015
Vaserstein, Leonid; Sakkalis, Takis; Frisch, Sophie
2
2010
About the period of Bell numbers modulo a prime. Zbl 1195.11034
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.
2
2008
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
Rigid relations in \(\text{GL}_2F\). Zbl 0944.20028
Vaserstein, L.; Wheland, E.
2
1998
Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017
Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel
2
1998
On sums of three integral cubes. Zbl 0808.11075
Conn, W.; Vaserstein, L. N.
2
1994
Sums of three cubes. Zbl 0799.11039
Payne, G.; Vaserstein, L. N.
2
1992
Linear algebra and algebraic K-theory. Zbl 0669.15001
Vaserstein, L. N.
2
1989
Matrix zeros of quadratic equations. Zbl 0657.13005
Dafni, Galia; Vaserstein, Leonid
2
1988
Prestabilization for \(K_ 1\) of Banach algebras. Zbl 0629.20021
Vaserstein, L. N.; Magurn, B. A.
2
1987
Generalized Euclidean group rings. Zbl 0527.16007
Dennis, Keith; Magurn, Bruce; Vaserstein, Leonid
2
1984
The stable rank of pullbacks. Zbl 1317.19001
Vaserstein, L. N.
1
2014
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
Vanishing polynomial sums. Zbl 1073.12001
Vaserstein, L. N.; Wheland, E. R.
1
2003
Commutators in pseudo-orthogonal groups. Zbl 0847.20042
Arlinghaus, F. A.; Vaserstein, L. N.; You, Hong
1
1995
Products of involutory matrices over rings. Zbl 0836.15006
Arlinghaus, F. A.; Vaserstein, L. N.; Hong, You
1
1995
Work of Pere Menal on normal subgroups. Zbl 0790.20064
Arlinghaus, F. A.; Vaserstein, L. N.
1
1992
Unstable \(K_ 1\)-theory of topological spaces is nilpotent. Zbl 0762.19002
Vaserstein, L. N.
1
1992
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 \(K_ 1\)-theory of topological spaces. Zbl 0594.18013
Vaserstein, L. N.
1
1986
On full subgroups of Chevalley groups. Zbl 0598.20051
Vaserstein, Leonid N.
1
1985
On arithmetic subgroups of simple algebraic groups. Zbl 0594.20038
Vaserstein, L. N.
1
1985
Über die Stabilisierung für den Milnorschen \(K_2\)-Funktor. Zbl 0326.18009
Vaserstein, L. N.
1
1975
Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0293.13007
Vaserstein, L. N.; Suslin, A. A.
1
1974
Über invariante Maße einiger Markovscher Operatoren, die eine homogene zufällige Umgebung beschreiben. Zbl 0306.60043
Vaserstein, L. N.; Leontovic, A. M.
1
1970
The congruence problem for a unitary group of rank \(\geq 2\). Zbl 0256.20063
Vaserstein, L. N.
1
1969
The stable rank of pullbacks. Zbl 1317.19001
Vaserstein, L. N.
1
2014
Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups. Zbl 1221.11082
Vaserstein, Leonid
5
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
8
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.
8
2008
Parametrization of Pythagorean triples by a single triple of polynomials. Zbl 1215.11025
Frisch, Sophie; Vaserstein, Leonid
6
2008
About the period of Bell numbers modulo a prime. Zbl 1195.11034
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.
2
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
4
2006
On the Whitehead determinant for semi-local rings. Zbl 1059.19002
Vaserstein, L. N.
13
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
Rigid relations in \(\text{GL}_2F\). Zbl 0944.20028
Vaserstein, L.; Wheland, E.
2
1998
Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017
Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel
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.
7
1995
Commutators in pseudo-orthogonal groups. Zbl 0847.20042
Arlinghaus, F. A.; Vaserstein, L. N.; You, Hong
1
1995
Products of involutory matrices over rings. Zbl 0836.15006
Arlinghaus, F. A.; Vaserstein, L. N.; Hong, You
1
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
15
1994
On sums of three integral cubes. Zbl 0808.11075
Conn, W.; Vaserstein, L. N.
2
1994
Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs. Zbl 0785.52002
Lyubich, Yuri I.; Vaserstein, Leonid N.
19
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.
2
1992
Work of Pere Menal on normal subgroups. Zbl 0790.20064
Arlinghaus, F. A.; Vaserstein, L. N.
1
1992
Unstable \(K_ 1\)-theory of topological spaces is nilpotent. Zbl 0762.19002
Vaserstein, L. N.
1
1992
On symplectic groups over polynomial rings. Zbl 0725.20038
Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid
15
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.
24
1990
The subnormal structure of general linear groups over rings. Zbl 0711.20030
Vaserstein, L. N.
15
1990
Factorization of invertible matrices over rings of stable rank one. Zbl 0705.15004
Vaserstein, Leonid N.; Wheland, Ethel
8
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.
12
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
Non-commutative number theory. Zbl 0666.10032
Vaserstein, L. N.
3
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.
35
1988
Absolute stable rank and Witt cancellation for noncommutative rings. Zbl 0639.16015
Magurn, B. A.; van der Kallen, Wilberd; Vaserstein, L. N.
28
1988
Normal subgroups of orthogonal groups over commutative rings. Zbl 0654.20052
Vaserstein, L. N.
18
1988
Reduction of a matrix depending on parameters to a diagonal form by addition operations. Zbl 0657.55005
Vaserstein, L. N.
14
1988
Subnormal structure of the general linear groups over Banach algebras. Zbl 0653.20050
Vaserstein, Leonid N.
10
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
Matrix zeros of quadratic equations. Zbl 0657.13005
Dafni, Galia; Vaserstein, Leonid
2
1988
Waring’s problem for algebras over fields. Zbl 0624.10049
Vaserstein, L. N.
12
1987
Computation of \(K_ 1\) via Mennicke symbols. Zbl 0614.16018
Vaserstein, Leonid N.
10
1987
On the sum of powers of matrices. Zbl 0637.10041
Vaserstein, L. N.
5
1987
Every integral matrix is the sum of three squares. Zbl 0603.10050
Vaserstein, Leonid N.
3
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.
48
1986
Operations on orbits of unimodular vectors. Zbl 0592.20053
Vaserstein, Leonid N.
26
1986
Normal subgroups of the general linear groups over Banach algebras. Zbl 0589.20030
Vaserstein, L. N.
15
1986
The subnormal structure of general linear groups. Zbl 0601.20046
Vaserstein, L. N.
13
1986
Normal subgroups of the general linear groups over von Neumann regular rings. Zbl 0594.16007
Vaserstein, L. N.
12
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
Vector bundles and projective modules. Zbl 0592.55012
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 the absolute stable range of rings of continuous functions. Zbl 0592.18006
Swan, R. G.; Vaserstein, L. N.
3
1986
On \(K_ 1\)-theory of topological spaces. Zbl 0594.18013
Vaserstein, L. N.
1
1986
On full subgroups of Chevalley groups. Zbl 0598.20051
Vaserstein, Leonid N.
1
1985
On arithmetic subgroups of simple algebraic groups. Zbl 0594.20038
Vaserstein, L. N.
1
1985
Bass’s first stable range condition. Zbl 0547.16017
Vaserstein, L. N.
66
1984
Congruence properties of Zariski-dense subgroups. I. Zbl 0551.20029
Matthews, C. R.; Vaserstein, L. N.; Weisfeiler, Boris
44
1984
The stable range of \(C^*\)-algebras. Zbl 0559.46025
Herman, Richard H.; Vaserstein, Leonid N.
29
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
2
1984
Units in Whitehead groups of finite groups. Zbl 0517.16011
Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid
5
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.
19
1981
Serre’s problem on projective modules over polynomial rings, and algebraic K-theory. Zbl 0379.13009
Vaserstein, L. N.; Suslin, A. A.
44
1978
Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0338.13015
Vaserstein, L. N.; Suslin, A. A.
34
1976
Foundations of algebraic \(K\)-theory. Zbl 0359.18015
Vaseršteĭn, L. N.
4
1976
Stabilization for classical groups over rings. Zbl 0305.18007
Vaserstein, L. N.
9
1975
Über die Stabilisierung für den Milnorschen \(K_2\)-Funktor. Zbl 0326.18009
Vaserstein, L. N.
1
1975
The structure of classical arithmetic groups of rank greater than one. Zbl 0291.14016
Vaserstein, L. N.
27
1974
Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Zbl 0293.13007
Vaserstein, L. N.; Suslin, A. A.
1
1974
On the group \(SL_2\) over Dedekind rings of arithmetic type. Zbl 0359.20027
Vaserstein, L. N.
38
1973
Aufbau klassischer arithmetischer Gruppen vom Rang größer als 1. Zbl 0277.14018
Vaserstein, L. N.
3
1973
On the normal subgroups of the orthogonal group over a ring with 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.
119
1971
Stabilization of unitary and orthogonal groups over a ring with involution. Zbl 0253.20066
Vaserstein, L. N.
21
1971
On the stabilization of the general linear group over a ring. Zbl 0238.20057
Vaserstein, L. N.
50
1970
Über invariante Maße einiger Markovscher Operatoren, die eine homogene zufällige Umgebung beschreiben. Zbl 0306.60043
Vaserstein, L. N.; Leontovic, A. M.
1
1970
Markovian processes on countable space product describing large systems of automata. Zbl 0273.60054
Vaserstein, L. N.
15
1969
\(K_ 1\) theory and the congruence problem. Zbl 0195.32202
Vaserstein, L. N.
9
1969
On the congruence problem for classical groups. Zbl 0279.20037
Vaserstein, L. N.
4
1969
\(K_1\)-theory and the congruence problem. Zbl 0177.04301
Vaserstein, L. N.
3
1969
The congruence problem for a unitary group of rank \(\geq 2\). Zbl 0256.20063
Vaserstein, L. N.
1
1969
all top 5

Cited by 604 Authors

47 Vaserstein, Leonid N.
35 Vavilov, Nikolaĭ Aleksandrovich
25 Rao, Ravi A.
16 Mason, Alexander W.
14 Stepanov, Alexeĭ Vladimirovich
13 You, Hong
12 Hazrat, Roozbeh
10 Chen, Huanyin
10 Gallardo, Luis Henri
10 Mortini, Raymond
9 Jose, Selby
8 Zhang, Zuhong
7 Ara, Pere
7 Bourgain, Jean
7 Corach, Gustavo
7 Lyubich, Yuriĭ Il’ich
7 Menal, Pere
7 Rupp, Rudolf
7 Sinchuk, Sergeĭ Sergeevich
7 Słowik, Roksana
7 Stavrova, Anastasia K.
7 Suárez, Fernando Daniel
7 Wei, Junchao
6 Bak, Anthony
6 Lam, Tsit-Yuen
6 Lubotzky, Alexander
6 Magurn, Bruce A.
5 Car, Mireille
5 Chattopadhyay, Pratyusha
5 Frisch, Sophie
5 Gamburd, Alexander
5 Goodearl, Kenneth R.
5 Jespers, Eric
5 Kontorovich, Alex V.
5 Kutzschebauch, Frank
5 Luzgarev, A. Yu.
5 Pardo, Enrique
5 Preusser, Raimund
5 Sarnak, Peter Clive
5 Van der Kallen, Wilberd
4 Garge, Anuradha S.
4 Hinson, Edward K.
4 Ivarsson, Björn
4 Kassabov, Martin
4 Khurana, Dinesh
4 Oh, Hee
4 Petrov, Viktor
4 Plotkin, Eugene
4 Sehgal, Sudarshan Kumar
4 Sridharan, Raja
4 Wheland, Ethel
4 Yu, Hua-Ping
4 Yu, Weibo
3 Basu, Rabeya
3 Bunina, E. I.
3 Das, Mrinal Kanti
3 Fasel, Jean
3 Feintuch, Avraham
3 Gordeev, Nikolai L.
3 Gupta, Anjan
3 James, Donald G.
3 Kakde, Mahesh
3 Keshari, Manoj Kumar
3 Knüppel, Frieder
3 Leal, Guilherme
3 Nicholson, W. Keith
3 Pedersen, Gert Kjærgård
3 Perera, Francesc
3 Rao, Dhvanita R.
3 Ritter, Jürgen
3 Sasane, Amol J.
3 Singla, Pooja
3 Sudo, Takahiro
3 Suslin, Andreĭ Aleksandrovich
3 Tong, Wenting
3 Voronetsky, Egor
3 Wang, Zhou
3 Yadav, Sunil Kr
3 Ye, Shengkui
2 Avni, Nir
2 Baccella, Giuseppe
2 Bannai, Eiichi
2 Bannai, Etsuko
2 Belyakin, N. V.
2 Beyl, F. Rudolf
2 Bhatwadekar, Srikant M.
2 Breuillard, Emmanuel
2 Brown, Lawrence Gerald
2 Brudnyi, Alexander
2 Carral, Michel
2 Chen, Jianlong
2 Chen, Miaosen
2 Chinburg, Ted
2 Costa, Douglas L.
2 del Río, Angel
2 Dennis, Roger Keith
2 Drazin, Michael P.
2 Fröberg, Ralf
2 Greferath, Marcus
2 Grunewald, Fritz J.
...and 504 more Authors
all top 5

Cited in 158 Serials

72 Journal of Algebra
54 Journal of Pure and Applied Algebra
44 Communications in Algebra
35 Linear Algebra and its Applications
26 Journal of Mathematical Sciences (New York)
24 Proceedings of the American Mathematical Society
18 Inventiones Mathematicae
15 Transactions of the American Mathematical Society
13 St. Petersburg Mathematical Journal
12 Journal of Soviet Mathematics
11 Israel Journal of Mathematics
11 Journal of Functional Analysis
11 Mathematische Annalen
11 \(K\)-Theory
10 Linear and Multilinear Algebra
9 Journal of \(K\)-Theory
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Advances in Mathematics
7 Topology and its Applications
7 Journal of Algebra and its Applications
6 Archiv der Mathematik
6 Duke Mathematical Journal
6 Journal of Group Theory
5 Mathematics of Computation
5 Integral Equations and Operator Theory
5 Mathematische Zeitschrift
5 Bulletin of the American Mathematical Society. New Series
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 Journal of Number Theory
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 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 Algebras and Representation Theory
3 Portugaliae Mathematica. Nova Série
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 Systems & Control Letters
2 Chinese Annals of Mathematics. Series B
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 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 Indian Journal of Pure & Applied Mathematics
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
1 Journal of Combinatorial Theory. Series A
1 Journal of Economic Theory
1 Journal of the London Mathematical Society. Second Series
...and 58 more Serials
all top 5

Cited in 45 Fields

262 Group theory and generalizations (20-XX)
144 \(K\)-theory (19-XX)
111 Number theory (11-XX)
104 Associative rings and algebras (16-XX)
96 Commutative algebra (13-XX)
77 Functional analysis (46-XX)
71 Linear and multilinear algebra; matrix theory (15-XX)
44 Algebraic geometry (14-XX)
37 Category theory; homological algebra (18-XX)
22 Combinatorics (05-XX)
21 Topological groups, Lie groups (22-XX)
15 Algebraic topology (55-XX)
14 Manifolds and cell complexes (57-XX)
13 Several complex variables and analytic spaces (32-XX)
10 Nonassociative rings and algebras (17-XX)
10 Operator theory (47-XX)
10 Geometry (51-XX)
10 Convex and discrete geometry (52-XX)
9 Probability theory and stochastic processes (60-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Field theory and polynomials (12-XX)
8 Numerical analysis (65-XX)
7 Functions of a complex variable (30-XX)
6 Mathematical logic and foundations (03-XX)
5 Partial differential equations (35-XX)
5 General topology (54-XX)
5 Computer science (68-XX)
5 Systems theory; control (93-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 History and biography (01-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Fluid mechanics (76-XX)
2 Quantum theory (81-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-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

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