almost fixed-point-free automorphisms of prime power order

almost fixed-point-free automorphisms of prime power order

;B.A.F. Wehrfritz
cuadernos de antropología social 2016 Vol. 1 pp. 21-31
113
wehrfritz2016advancesalmost

Abstract

We study the effect under various rank restrictions of a group having an automorphism of prime power order whose fixed-point set is also finite of prime power order for the same prime. Generally our conclusions are that the group has a soluble normal subgroup of bounded derived length. Not surprisingly the bound gets larger as the rank restrictions get weaker.

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