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Algebra Logika, 2008 Volume 47, Number 2, Pages 157–173 (Mi al352)

This article is cited in 59 papers

Spectra of finite linear and unitary groups

A. A. Buturlakin

Novosibirsk State University

Abstract: The spectrum of a finite group is the set of its element orders. An arithmetic criterion determining whether a given natural number belongs to a spectrum of a given group is furnished for all finite special, projective general, and projective special linear and unitary groups.

Keywords: finite simple group, classical group, spectrum of group, linear group, unitary group.

UDC: 512.542

Received: 07.11.2007
Revised: 19.12.2007


 English version:
Algebra and Logic, 2008, 47:2, 91–99

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