A sufficient condition for fixed points of a coprime action to have a normal complement
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DOI: 10.1007/s00013-018-1209-6
Abstract: Let A be a finite group acting on a finite group G via automorphisms. Assume that $$(|A|,|G|)=1$$(|A|,|G|)=1. We prove that if $$C_G(A)$$CG(A) is a Hall $$\pi $$π-subgroup of G, then G has a normal $$\pi… read more here.
Keywords: sufficient condition; condition fixed; complement; fixed points ... See more keywords