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arXiv · 1108.0655

Derived Subgroups of Fixed Points in Profinite Groups

C. Acciarri·A. de Souza Lima·P. Shumyatsky
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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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C. Acciarri, A. de Souza Lima, P. Shumyatsky. 2011-08-02. Derived Subgroups of Fixed Points in Profinite Groups. https://arxiv.org/abs/1108.0655

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