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.

Location: http://mech.math.msu.su/~fpm/eng/k10/k103/k10301h.htm

Last modified: March 24, 2011