Derived Subgroups of Fixed Points in Profinite Groups

Details Derived Subgroups of Fixed Points in Profinite Groups Derived Subgroups of Fixed Points in Profinite Groups

2011-08-02

arxiv.org/abs/1108.0655v1

Mathematics

Group Theory

To appear in Glasgow Mathematical Journal (2011). 11 pages

Scientific paper

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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