Derived Subgroups of Fixed Points in Profinite Groups

Published 2 Aug 2011 in math.GR | (1108.0655v1)

Abstract: The main result of this paper is the following theorem. Let q be a prime, A an elementary abelian group of order q^3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)' is periodic for each nontrivial element a in A. Then G' is locally finite.

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