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

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

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

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

Department of Mathematics

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

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)	5-40
Number of pages	36
Journal	Fundamental and Applied Mathematics
Volume	16
Issue number	3
State	Published - 2010

Cite this

@article{3c576d6e330f4c9d9b71c6d61cfc0239,

title = "Isomorphisms of general linear groups over associative rings graded by an Abelian group",

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.",

author = "Atkarskaya, \{A. S.\} and Bunina, \{E. I.\} and Mikhalev, \{A. V.\}",

year = "2010",

language = "אנגלית",

volume = "16",

pages = "5--40",

journal = "Fundamental and Applied Mathematics",

issn = "1560-5159",

publisher = "Lomonosov Moscow State University",

number = "3",

}

TY - JOUR

T1 - Isomorphisms of general linear groups over associative rings graded by an Abelian group

AU - Atkarskaya, A. S.

AU - Bunina, E. I.

AU - Mikhalev, A. V.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/79959643697

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:79959643697

SN - 1560-5159

VL - 16

SP - 5

EP - 40

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 3

ER -

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

Abstract

Other files and links

Fingerprint

Cite this