Normal subgroups of classical groups over rings

Leonid N. Vaserstein; Hong You

doi:10.1016/0022-4049(94)00144-8

Normal subgroups of classical groups over rings

Leonid N. Vaserstein
, Hong You

Mathematics

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

For a class of associative rings R with 1 containing every ring which is finitely generated as a module over its center, we obtain a complete description of all subgroups of pseudo-orthogonal groups O_2nR which are normalized by elementary orthogonal matrices.

Original language	English (US)
Pages (from-to)	93-105
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	105
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(94)00144-8
State	Published - Nov 24 1995

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-4049(94)00144-8

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title = "Normal subgroups of classical groups over rings",

abstract = "For a class of associative rings R with 1 containing every ring which is finitely generated as a module over its center, we obtain a complete description of all subgroups of pseudo-orthogonal groups O2nR which are normalized by elementary orthogonal matrices.",

author = "Vaserstein, \{Leonid N.\} and Hong You",

note = "Funding Information: *This work was supported in part by NSF Grant DMA-90-00584 *Corresponding author.",

year = "1995",

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T1 - Normal subgroups of classical groups over rings

AU - Vaserstein, Leonid N.

AU - You, Hong

N1 - Funding Information: *This work was supported in part by NSF Grant DMA-90-00584 *Corresponding author.

PY - 1995/11/24

Y1 - 1995/11/24

N2 - For a class of associative rings R with 1 containing every ring which is finitely generated as a module over its center, we obtain a complete description of all subgroups of pseudo-orthogonal groups O2nR which are normalized by elementary orthogonal matrices.

AB - For a class of associative rings R with 1 containing every ring which is finitely generated as a module over its center, we obtain a complete description of all subgroups of pseudo-orthogonal groups O2nR which are normalized by elementary orthogonal matrices.

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UR - https://www.scopus.com/pages/publications/3543007726#tab=citedBy

U2 - 10.1016/0022-4049(94)00144-8

DO - 10.1016/0022-4049(94)00144-8

M3 - Article

AN - SCOPUS:3543007726

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SP - 93

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

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Normal subgroups of classical groups over rings

Abstract

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