Normal Subgroups of Orthogonal Groups Over Commutative Rings

L. N. Vaserstein

Type: Article

Publication Date: 1988-10-01

Citations: 29

DOI: https://doi.org/10.2307/2374699

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Locations

American Journal of Mathematics - View

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+	Abelianisation of orthogonal groups and the fundamental group of modular varieties	2009	Valery Gritsenko Klaus Hulek G. K. Sankaran
+	On subgroups ofGL 2 over non-commutative local rings which are normalized by elementary matrices	1989	P. Menal L. N. Vaserstein
+	Decomposition of Transvections: A Theme with Variations	2000	A. V. Stepanov N. A. Vavilov
+ PDF Chat	Another presentation for symplectic Steinberg groups	2015	Andrei Lavrenov
+ PDF Chat	Structure of Chevalley groups: The proof from the book	2007	N. A. Vavilov Misha Gavrilovich Sergey Nikolenko
+	Classical Groups	1991	Erich W. Ellers
+	Abelianisation of orthogonal groups and the fundamental group of modular varieties	2008	Valery Gritsenko Klaus Hulek G. K. Sankaran
+ PDF Chat	Normal structure of isotropic reductive groups over rings	2022	Anastasia Stavrova A. V. Stepanov
+ PDF Chat	$\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$	2009	N. A. Vavilov Sergey Nikolenko
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Works Cited by This (30)

Action	Title	Year	Authors
+	Quadratische Formen und orthogonale Gruppen	1974	Martin Eichler
+	Introduction to algebraic K-theory	1971	John Milnor
+	On the normal subgroups of GLn over a ring	1981	L. N. Vaserstein
+	Algebraic and Abstract Simple Groups	1964	Jacques Tits
+	The structure of orthogonal groups of 2-adic unimodular quadratic forms	1973	Donald G. James
+	On the orthogonal groups of unimodular quadratic forms	1962	C. T. C. Wall
+	The orthogonal and the special orthogonal groups over a full ring	1981	Bernard R. McDonald Bessie H. Kirkwood
+	Orthogonal groups of three-dimensional anisotropic quadratic forms	1975	Donald G. James
+	Orthogonal groups over semilocal domains	1975	Chan-nan Chang
+ PDF Chat	Theory of linear groups in an arbitrary field	1901	L. E. Dickson