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Algebra Logika, 2007 Volume 46, Number 2, Pages 129–156 (Mi al1)

This article is cited in 60 papers

The cyclic structure of maximal tori of the finite classical groups

A. A. Buturlakin, M. A. Grechkoseeva

Novosibirsk State University

Abstract: Maximal tori of all finite simple classical groups, as well as of special and general projective linear and unitary groups, are treated. For every such torus, its expression as a direct sum of cyclic groups is obtained in an explicit form.

Keywords: finite simple group, classical group, maximal torus, semisimple element, spectrum of a group.

UDC: 512.542

Received: 11.10.2006


 English version:
Algebra and Logic, 2007, 46:2, 73–89

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