L. N. Vaserstein

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All published works

Action	Title	Year	Authors
+	Introduction to Linear Programming	2014	L. N. Vaserstein Christopher Cattelier Byrne
+	Linear Programming	2013	L. N. Vaserstein
+	Polynomial parametrization of integer matrices with given determinant	2013	Luis H. Gallardo L. N. Vaserstein
+ PDF Chat	Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples	2011	Sophie Frisch L. N. Vaserstein
+ PDF	Sums and strict sums of biquadrates in ${\bf F}_{q}[t]$, $q \in \{3,9\}$	2010	Luis H. Gallardo L. N. Vaserstein
+	POLYNOMIAL PARAMETRIZATION OF PYTHAGOREAN TUPLES	2010	L. N. Vaserstein Takis Sakkalis Sophie Frisch
+ PDF	Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups	2010	L. N. Vaserstein
+ PDF Chat	Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring	2009	Nir Avni Uri Onn Amritanshu Prasad L. N. Vaserstein
+	Polynomial parametrization of Pythagorean n-tuples	2009	Sophie Frisch L. N. Vaserstein
+	The strict Waring problem for polynomial rings	2008	Luis H. Gallardo L. N. Vaserstein
+ PDF Chat	Parametrization of Pythagorean triples by a single triple of polynomials	2007	Sophie Frisch L. N. Vaserstein
+	Linear Programming	2006	L. N. Vaserstein
+	Linear Programming	2006	L. N. Vaserstein
+ PDF Chat	A Note on Bruhat Decomposition of<i>GL</i>(<i>n</i>) over Local Principal Ideal Rings	2006	Uri Onn Amritanshu Prasad L. N. Vaserstein
+	Matrix Games, Linear Programming, and Linear Approximation	2006	L. N. Vaserstein
+	Reduction of Linear Programming to Linear Approximation	2006	L. N. Vaserstein
+	Representations of polynomials over finite fields of characteristic two as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>A</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:mi>C</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>	2005	Luis Gallardo Olivier Rahavandrainy L. N. Vaserstein
+	On the Whitehead determinant for semi-local rings	2004	L. N. Vaserstein
+	Vanishing Polynomial Sums	2003	L. N. Vaserstein Ethel R. Wheland
+	On the Diophantine Equation a3+b3+c3+d3=0	2002	Rachel Gar-el L. N. Vaserstein
+	Two-dimensional representations of the free group in two generators over an arbitrary field	2000	L. N. Vaserstein Ethel R. Wheland
+	Rigid relations in GL2F	1998	L. N. Vaserstein Ethel R. Wheland
+	Solving quadratic equations over polynomial rings of characteristic two	1998	Jørgen Cherly Luis Gallardo L. N. Vaserstein Ethel R. Wheland
+ PDF	Commutators in pseudo-orthogonal groups	1995	F. A. Arlinghaus L. N. Vaserstein Hong You
+	Products of conjugacy classes of two by two matrices	1995	L. N. Vaserstein Ethel R. Wheland
+	Products of involutory matrices over rings	1995	F. A. Arlinghaus L. N. Vaserstein Hong You
+	Normal subgroups of classical groups over rings	1995	L. N. Vaserstein Hong You
+	Normal Subgroups of Classical Groups over von Neumann Regular Rings	1994	F. A. Arlinghaus L. N. Vaserstein Hong You
+	On the groups SL2(ℤ[x]) and SL2(k[x, y])	1994	Fritz Grunewald J. Mennicke L. N. Vaserstein
+	On sums of three integral cubes	1994	W. Conn L. N. Vaserstein
+	Isometric embed-dings between classical Banach spaces, cubature formulas, and spherical designs	1993	Yuri I. Lyubich L. N. Vaserstein
+	Ramsey's Theorem and Waring's Problem for Algebras over Fields	1992	L. N. Vaserstein
+	Sums of Three Cubes	1992	Garth Hampton Payne L. N. Vaserstein
+ PDF	Work of Pere Menal on normal subgroups	1992	F. A. Arlinghaus L. N. Vaserstein
+	On subgroups of GL2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices	1991	Pere Menal L. N. Vaserstein
+	On symplectic groups over polynomial rings	1991	Fritz Grunewald J. Mennicke L. N. Vaserstein
+ PDF	Sums of cubes in polynomial rings	1991	L. N. Vaserstein
+ PDF	Sums of Cubes in Polynomial Rings	1991	L. N. Vaserstein
+	Commutators and companion matrices over rings of stable rank 1	1990	L. N. Vaserstein Ethel R. Wheland
+	The subnormal structure of general linear groups over rings	1990	L. N. Vaserstein
+	On the structure of GL2 over stable range one rings	1990	Pere Menal L. N. Vaserstein
+ PDF	Factorization of invertible matrices over rings of stable rank one	1990	L. N. Vaserstein Ethel R. Wheland
+	On normal subgroups of $\mathrm {GL}_2$ over rings with many units	1990	L. N. Vaserstein
+	Commutators in linear groups	1989	R. Keith Dennis L. N. Vaserstein
+	On subgroups ofGL 2 over non-commutative local rings which are normalized by elementary matrices	1989	P. Menal L. N. Vaserstein
+	Normal subgroups of symplectic groups over rings	1989	L. N. Vaserstein
+	Noncommutative number theory	1989	L. N. Vaserstein
+	Normal subgroups of classical groups over rings and gauge groups	1989	L. N. Vaserstein
+	Normal subgroups of classical groups over Banach algebras	1988	L. N. Vaserstein
+	Absolute stable rank and Witt cancellation for noncommutative rings	1988	Bruce A. Magurn Wilberd van der Kallen L. N. Vaserstein
+	On a question of M. Newman on the number of commutators	1988	R. Keith Dennis L. N. Vaserstein
+	Normal Subgroups of Orthogonal Groups Over Commutative Rings	1988	L. N. Vaserstein
+	Matrix zeros of quadratic equations	1988	Galia Dafni L. N. Vaserstein
+ PDF	On the best choice of a damping sequence in iterative optimization methods	1988	L. N. Vaserstein
+ PDF	Reduction of a Matrix Depending on Parameters to a Diagonal Form by Addition Operations	1988	L. N. Vaserstein
+	Subnormal structure of the general linear groups over Banach algebras	1988	L. N. Vaserstein
+	Every integer is a sum or difference of 28 integral eighth powers	1988	L. N. Vaserstein
+ PDF	Reduction of a matrix depending on parameters to a diagonal form by addition operations	1988	L. N. Vaserstein
+	On the sum powers of matrices	1987	L. N. Vaserstein
+	Prestabilization for K1 of banach algebras	1987	L. N. Vaserstein B.A. Magurnt
+	Waring's problem for commutative rings	1987	L. N. Vaserstein
+	Waring's problem for algebras over fields	1987	L. N. Vaserstein
+	Computation of k<sub>1</sub>Via mennicke symbols	1987	L. N. Vaserstein
+	Every integral matrix is the sum of three squares	1986	L. N. Vaserstein
+	On K1-theory of the Euclidean space	1986	William P. Thurston L. N. Vaserstein
+ PDF	An Answer to a Question of M. Newman on Matrix Completion	1986	L. N. Vaserstein
+	Operations on orbits of unimodular vectors	1986	L. N. Vaserstein
+	The subnormal structure of general linear groups	1986	L. N. Vaserstein
+ PDF	Vector Bundles and Projective Modules	1986	L. N. Vaserstein
+ PDF	Normal Subgroups of the General Linear Groups Over Von Neumann Regular Rings	1986	L. N. Vaserstein
+	Normal subgroups of the general linear groups over Banach algebras	1986	L. N. Vaserstein
+ PDF	An answer to a question of M. Newman on matrix completion	1986	L. N. Vaserstein
+ PDF	Normal subgroups of the general linear groups over von Neumann regular rings	1986	L. N. Vaserstein
+ PDF	On normal subgroups of Chevalley groups over commutative rings	1986	L. N. Vaserstein
+ PDF	Vector bundles and projective modules	1986	L. N. Vaserstein
+	On the absolute stable range of rings of continuous functions	1986	R. G. Swan L. N. Vaserstein
+	On arithmetic subgroups of simple algebraic groups	1985	L. N. Vaserstein
+ PDF	On full subgroups of Chevalley groups	1985	L. N. Vaserstein
+	Bass's first stable range condition	1984	L. N. Vaserstein
+	The stable range of C*-algebras	1984	Richard H. Herman L. N. Vaserstein
+	Generalized euclidean group rings.	1984	L. N. Vaserstein Bruce A. Magurn K. W. Dennis
+	Congruence Properties of Zariski-Dense Subgroups I	1984	Christopher R. Matthews L. N. Vaserstein Boris Weisfeiler
+	RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY	1982	L. N. Vaserstein
+	On the normal subgroups of GLn over a ring	1981	L. N. Vaserstein
+	On systems of particles with finite-range and/or repulsive interactions	1979	L. N. Vaserstein
+	SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY	1976	L. N. Vaserstein Andrei Suslin
+	STABILIZATION FOR CLASSICAL GROUPS OVER RINGS	1974	L. N. Vaserstein
+	THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE	1973	L. N. Vaserstein
+	ON THE GROUP<i>SL<sub>2</sub></i>OVER DEDEKIND RINGS OF ARITHMETIC TYPE	1972	L. N. Vaserstein
+	STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION	1970	L. N. Vaserstein
+	ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING	1969	L. N. Vaserstein
+	THE CONGRUENCE PROBLEM FOR A UNITARY GROUP OF RANK $ \geq 2$	1968	L. N. Vaserstein
+	SUBGROUPS OF FINITE INDEX OF A SPINOR GROUP OF RANK ≥ 2	1968	L. N. Vaserstein

Common Coauthors

Coauthor	Papers Together
Ethel R. Wheland	7
Sophie Frisch	4
F. A. Arlinghaus	4
Hong You	4
Luis H. Gallardo	3
Bruce A. Magurn	2
Pere Menal	2
J. Mennicke	2
Luis Gallardo	2
R. Keith Dennis	2
Amritanshu Prasad	2
Fritz Grunewald	2
Uri Onn	2
Richard H. Herman	1
R. G. Swan	1
Galia Dafni	1
Boris Weisfeiler	1
Christopher R. Matthews	1
Christopher Cattelier Byrne	1
P. Menal	1
Jørgen Cherly	1
Olivier Rahavandrainy	1
Wilberd van der Kallen	1
Takis Sakkalis	1
Yuri I. Lyubich	1
Andrei Suslin	1
B.A. Magurnt	1
Rachel Gar-el	1
K. W. Dennis	1
William P. Thurston	1
Garth Hampton Payne	1
W. Conn	1
Nir Avni	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	K1-theory and the congruence problem	1969	L. N. Vasershtein	14
+	SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY	1976	L. N. Vaserstein Andrei Suslin	14
+	On the normal subgroups of GLn over a ring	1981	L. N. Vaserstein	13
+	Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)	1967	Hyman Bass John Milnor Jean-Pierre Serre	13
+	Bass's first stable range condition	1984	L. N. Vaserstein	12
+	STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION	1970	L. N. Vaserstein	10
+	Stable rank of rings and dimensionality of topological spaces	1971	L. N. Vasershtein	9
+	Algebraic K-theory	1968	Hyman Bass	9
+	STABILIZATION FOR CLASSICAL GROUPS OVER RINGS	1974	L. N. Vaserstein	9
+ PDF	Theory of linear groups in an arbitrary field	1901	L. E. Dickson	9
+	Normal subgroups of the general linear groups over Banach algebras	1986	L. N. Vaserstein	9
+ PDF	Chevalley groups over local rings	1969	Eiichi Abe	8
+	On a question of M. Newman on the number of commutators	1988	R. Keith Dennis L. N. Vaserstein	8
+	Le Probleme des Groupes de Congruence Pour SL 2	1970	Jean-Pierre Serre	8
+	Von Neumann regular rings	1979	K. R. Goodearl	7
+	On regular rings with stable range 2	1982	Pere Menal Jaume Moncasi	7
+	Waring's problem for algebras over fields	1987	L. N. Vaserstein	7
+ PDF	Normal subgroups of the general linear groups over von Neumann regular rings	1986	L. N. Vaserstein	6
+	THEOREMS ON POLYNOMIALS IN A GALOIS FIELD	1933	R. E. A. C. Paley	6
+	K1 of Von Neumann regular rings	1984	Pere Menal Jaume Moncasi	6
+	On the structure of theGL 2 of a ring	1966	P. M. Cohn	6
+	On modules with quadratic forms	1969	Anthony Bak	6
+	ON THE GROUP<i>SL<sub>2</sub></i>OVER DEDEKIND RINGS OF ARITHMETIC TYPE	1972	L. N. Vaserstein	6
+	ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS	1977	Andrei Suslin	6
+	Finite Factor Groups of the Unimodular Group	1965	J. L. Mennicke	5
+	GEOMETRIC ALGEBRA OVER LOCAL RINGS	1977	P. M. Cohn	5
+ PDF	Sur Les Sous-Groupes Normaux De SL<sub>2</sub> Sur Un Anneau Local	1983	Norbert H. J. Lacroix Claude Lévesque	5
+	ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING	1969	L. N. Vaserstein	5
+	Subnormal structure of two-dimensional linear groups over local rings	1983	С. Тажетдинов	5
+	La Géométrie des Groupes Classiques	1963	Jean Dieudonné	5
+	Introduction to algebraic K-theory	1971	John Milnor	5
+	On the normal subgroups of SL(2, A)	1988	Douglas L. Costa Gordon E. Keller	5
+	Subnormal structure of the general linear groups over Banach algebras	1988	L. N. Vaserstein	5
+ PDF	Sums of cubes in polynomial rings	1991	L. N. Vaserstein	5
+ PDF	Two-Dimensional Linear Groups Over Local Rings	1969	Norbert H. J. Lacroix	5
+ PDF	On GL<sub>2</sub> of a Local Ring in Which 2 is Not a Unit	1987	A. W. Mason	4
+	A Complete Description of the Normal Subgroups of Genus One of the Modular Group	1964	Morris Newman	4
+	The structure of symplectic groups over semi-local rings	1985	Tang Xiangpu Jianbei An	4
+	Subnormal structure of two-dimensional linear groups over rings that are close to fields	1985	С. Тажетдинов	4
+	Normal structure of the full linear group over a semilocal ring	1982	N. A. Vavilov L. Yu. Kolotilina	4
+	The Pythagoras number of some affine algebras and local algebras.	1982	M. D. Choi Zhehao Dai T. Y. Lam Bruce Reznick	4
+	Geometric Algebra	1957	Emil Artin	4
+	Stable range one for rings with many units	1988	K. R. Goodearl P. Menal	4
+ PDF	On normal subgroups of Chevalley groups over commutative rings	1976	Eiichi Abe Kazuo Suzuki	4
+	Waring's problem for the ring of polynomials	1979	Donald J. Newman M Slater	4
+ PDF	The normal subgroup structure of the Picard group	1987	Benjamin Fine Morris Newman	4
+ PDF	Numbers of solutions of equations in finite fields	1949	André Weil	4
+ PDF	On normal subgroups of Chevalley groups over commutative rings	1986	L. N. Vaserstein	4
+ PDF	Free subgroups and normal subgroups of the modular group	1964	Morris Newman	4
+	Gl<sub>2</sub>of rings with many units	1980	Bernard R. McDonald	4