The subnormal structure of general linear groups over rings-Reference-Cited by-同舟云学术

The subnormal structure of general linear groups over rings

Published:1990-09 Issue:2 Volume:108 Page:219-229
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Vaserstein L. N.

Abstract

For any associative ring A with 1 and any integer n ≥ 1, let GLn A be the group of all invertible n × n matrices over A and EnA the subgroup generated by all elementary matrices aij, where a ∈ A and 1 ≤ i ≠ j ≤ n. When n = 1, the group GL1A is the multiplicative group of A and the group E1A is trivial.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

1. Normal subgroups of the general linear groups over von Neumann regular rings

2. Automorphismengruppen freier moduln von unendlichem rang

3. A note on the subnormal structure of general linear groups

4. Subnormal structure of the general linear groups over Banach algebras

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