almost fixed-point-free automorphisms of prime power order
;B.A.F. Wehrfritz
cuadernos de antropología social2016Vol. 1pp. 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.