Normal subgroups of the general linear groups over Von Neumann regular rings

L. N. Vaserstein

doi:10.1090/S0002-9939-1986-0818445-7

Normal subgroups of the general linear groups over Von Neumann regular rings

L. N. Vaserstein

Mathematics

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

12 Scopus citations

Abstract

Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GL_nA, n ≥ 3, which are normalized by elementary matrices.

Original language	English (US)
Pages (from-to)	209-214
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	96
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1986-0818445-7
State	Published - Feb 1986

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1986-0818445-7

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title = "Normal subgroups of the general linear groups over Von Neumann regular rings",

abstract = "Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GLnA, n ≥ 3, which are normalized by elementary matrices.",

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N2 - Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GLnA, n ≥ 3, which are normalized by elementary matrices.

AB - Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GLnA, n ≥ 3, which are normalized by elementary matrices.

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Normal subgroups of the general linear groups over Von Neumann regular rings

Abstract

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