Derived Subgroups of Fixed Points in Profinite Groups
classification
🧮 math.GR
keywords
groupprofiniteabelianactsautomorphismscoprimederivedelement
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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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