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Matematicheskie Trudy, 2010, Volume 13, Number 2, Pages 33–83 (Mi mt199)  
This article is cited in 43 scientific papers (total in 43 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
Full-text PDF (448 kB) Citations (43)
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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
English version:
Siberian Advances in Mathematics, 2011, Volume 21, Issue 3, Pages 176–210
DOI: https://doi.org/10.3103/S1055134411030035
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
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
Citation in format AMSBIB
\Bibitem{But10}
\by A.~A.~Buturlakin
\paper Spectra of finite symplectic and orthogonal groups
\jour Mat. Tr.
\yr 2010
\vol 13
\issue 2
\pages 33--83
\mathnet{http://mi.mathnet.ru/mt199}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789956}
\transl
\jour Siberian Adv. Math.
\yr 2011
\vol 21
\issue 3
\pages 176--210
\crossref{https://doi.org/10.3103/S1055134411030035}
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    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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