Geodesic
Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 333-340.

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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. 
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Andrei V. Zavarnitsine. Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 333-340. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a27/

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