Finite groups of bounded rank with an almost regular automorphism
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In this paper we prove that any finite group of rankr, with an automorphism whose centralizer hasm points, has a characteristic soluble subgroup of (m, r)-bounded index andr-bounded derived length. This result gives a positive answer to a problem raised by E. I. Khukhro and A. Shalev (see also Problem 13.56 from the “Kourovka Notebook” [Kou]).
KeywordsFinite Group Maximal Lattice Injective Morphism Characteristic Subgroup Embed Subgroup
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