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Profinite groups and the fixed points of coprime automorphisms
Published 2 Mar 2017 in math.GR | (1703.00988v1)
Abstract: The main result of the paper is the following theorem. Let $q$ be a prime and $A$ an elementary abelian group of order $q3$. Suppose that $A$ acts coprimely on a profinite group $G$ and assume that $C_G(a)$ is locally nilpotent for each $a\in A{#}$. Then the group $G$ is locally nilpotent.
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