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Rings, Modules, and Representations
August 14-18, 2000
Ovidius University
Constanta, Romania

Organizers
Laszlo Marki, Fred van Oystaeyen, Klaus W. Roggenkamp, Mirela Stefanescu

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Maximal Subgroups of Skew Linear Groups
by
M. Mahdavi-Hezavehi
Sharif University of Technology, Department of Mathematical Sciences, P. O. Box 11365-9415, Tehran - IRAN

Let D ba an infinite division algebra of finite dimension over its centre Z(D) = F and n be a positive integer. The structure of maximal subgroups of skew linear groups are investigated. In particular, assume that N is a normal subgroup of GLn(D) and M is a maximal subgroup of N containing Z(N) . It is shown that if M/Z(N) is finite, then N is central.

Date received: June 6, 2000


Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafe-11.