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This article is cited in 42 scientific papers (total in 42 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.
Received: 10.11.2009
Citation:
A. A. Buturlakin, “Spectra of finite symplectic and orthogonal groups”, Mat. Tr., 13:2 (2010), 33–83; Siberian Adv. Math., 21:3 (2011), 176–210
Linking options:
https://www.mathnet.ru/eng/mt199 https://www.mathnet.ru/eng/mt/v13/i2/p33
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Abstract page: | 592 | Full-text PDF : | 200 | References: | 72 | First page: | 1 |
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