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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 333–340 (Mi semr328)  
This article is cited in 5 scientific papers (total in 5 papers)

Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups

Andrei V. Zavarnitsine

Group Theory Lab., Sobolev Institute of Mathematics, 4, Koptyug av. 630090, Novosibirsk, Russia
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Abstract: We find sufficient arithmetic conditions for element of large prime order of a finite simple linear or unitary group to have a nontrivial fixed point in equicharacteristic modules. Some applications are made to the study of the prime graph of simple groups.
Keywords: finite simple groups, fixed points, equicharacteristic action, prime graph.
Received July 25, 2011, published November 3, 2011
Document Type: Article
UDC: 512.54
MSC: 20D06
Language: English
Citation: Andrei V. Zavarnitsine, “Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups”, Sib. Èlektron. Mat. Izv., 8 (2011), 333–340
Citation in format AMSBIB
\Bibitem{Zav11}
\by Andrei~V.~Zavarnitsine
\paper Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 333--340
\mathnet{http://mi.mathnet.ru/semr328}
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  • https://www.mathnet.ru/eng/semr/v8/p333
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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