Andrei V. Zavarnitsine, “Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups”, Sib. Èlektron. Mat. Izv., 2011, Volume 8,Pages <nobr>333

This article is cited in 6 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.

UDC: 512.54

MSC: 20D06

Received July 25, 2011, published November 3, 2011

Language: English