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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 333–340
(Mi semr328)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/semr328 https://www.mathnet.ru/eng/semr/v8/p333
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Abstract page: | 352 | Full-text PDF : | 110 | References: | 70 |
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