Normal subgroups of classical groups over von neumann regular rings

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

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)863-873
Number of pages11
JournalJournal of Algebra
Volume169
Issue number3
DOIs
StatePublished - Nov 1 1994

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Von Neumann Regular Ring
Classical Groups
Normal subgroup
Elementary matrix
Orthogonal matrix
Orthogonal Group
Normality
Subgroup

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Arlinghaus, F. A. ; Vaserstein, Leonid N. ; You, Hong. / Normal subgroups of classical groups over von neumann regular rings. In: Journal of Algebra. 1994 ; Vol. 169, No. 3. pp. 863-873.
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Normal subgroups of classical groups over von neumann regular rings. / Arlinghaus, F. A.; Vaserstein, Leonid N.; You, Hong.

In: Journal of Algebra, Vol. 169, No. 3, 01.11.1994, p. 863-873.

Research output: Contribution to journalArticle

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