Isomorphisms of general linear groups over associative rings graded by an Abelian group

A. S. Atkarskaya; E. I. Bunina; A. V. Mikhalev

doi:10.1007/s10958-011-0509-1

Isomorphisms of general linear groups over associative rings graded by an Abelian group

A. S. Atkarskaya
, E. I. Bunina
, A. V. Mikhalev

Lomonosov Moscow State University

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

2 Scopus citations

Abstract

In this paper, we give a simpler proof of the Golubchik-Mikhalev-Zelmanov theorem on the structure of isomorphisms between general linear groups over associative rings, and also prove an extension of this theorem for linear groups over rings graded by an Abelian group.

Original language	English
Pages (from-to)	774-800
Number of pages	27
Journal	Journal of Mathematical Sciences (United States)
Volume	177
Issue number	6
DOIs	https://doi.org/10.1007/s10958-011-0509-1
State	Published - Sep 2011
Externally published	Yes

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abstract = "In this paper, we give a simpler proof of the Golubchik-Mikhalev-Zelmanov theorem on the structure of isomorphisms between general linear groups over associative rings, and also prove an extension of this theorem for linear groups over rings graded by an Abelian group.",

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Isomorphisms of general linear groups over associative rings graded by an Abelian group

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