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Mat. Tr., 2010 Volume 13, Number 2, Pages 33–83 (Mi mt199)

This article is cited in 45 papers

Spectra of finite symplectic and orthogonal groups

A. A. Buturlakin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: The spectrum of a finite group $G$ is the set of the orders of elements of $G$. In the present article, we obtain an arithmetical description of the spectra of finite symplectic and orthogonal groups. In particular, we describe the spectra of finite simple groups in these two classes.

Key words: spectrum of a group, finite group of Lie type, finite simple group.

UDC: 512.542

Received: 10.11.2009


 English version:
Siberian Advances in Mathematics, 2011, 21:3, 176–210

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