FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 3, PAGES 5-40

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

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

Abstract

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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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Last modified: March 24, 2011