Normal subgroups of classical groups over von neumann regular rings

F. A. Arlinghaus; L. N. Vaserstein; Hong You

doi:10.1006/jabr.1994.1313

Normal subgroups of classical groups over von neumann regular rings

F. A. Arlinghaus, L. N. Vaserstein, Hong You

Mathematics

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

Abstract

Let R be a von Neumann regular ring. We obtain a complete description of all subgroups of the pseudo-orthogonal groups O_2nR for n ≥ 3 which are normalized by elementary orthogonal matrices. We also prove the normality of EO_2n(R, J) in O_2nR when R is an abelian von Neumann regular ring and n ≥ 1.

Original language	English (US)
Pages (from-to)	863-873
Number of pages	11
Journal	Journal of Algebra
Volume	169
Issue number	3
DOIs	https://doi.org/10.1006/jabr.1994.1313
State	Published - Nov 1 1994

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1006/jabr.1994.1313

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title = "Normal subgroups of classical groups over von neumann regular rings",

abstract = "Let R be a von Neumann regular ring. We obtain a complete description of all subgroups of the pseudo-orthogonal groups O2nR for n ≥ 3 which are normalized by elementary orthogonal matrices. We also prove the normality of EO2n(R, J) in O2nR when R is an abelian von Neumann regular ring and n ≥ 1.",

author = "Arlinghaus, {F. A.} and Vaserstein, {L. N.} and Hong You",

year = "1994",

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AU - Arlinghaus, F. A.

AU - Vaserstein, L. N.

AU - You, Hong

PY - 1994/11/1

Y1 - 1994/11/1

N2 - Let R be a von Neumann regular ring. We obtain a complete description of all subgroups of the pseudo-orthogonal groups O2nR for n ≥ 3 which are normalized by elementary orthogonal matrices. We also prove the normality of EO2n(R, J) in O2nR when R is an abelian von Neumann regular ring and n ≥ 1.

AB - Let R be a von Neumann regular ring. We obtain a complete description of all subgroups of the pseudo-orthogonal groups O2nR for n ≥ 3 which are normalized by elementary orthogonal matrices. We also prove the normality of EO2n(R, J) in O2nR when R is an abelian von Neumann regular ring and n ≥ 1.

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DO - 10.1006/jabr.1994.1313

M3 - Article

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JO - Journal of Algebra

JF - Journal of Algebra

IS - 3

ER -

Normal subgroups of classical groups over von neumann regular rings

Abstract

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