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DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS
Published online by Cambridge University Press: 02 August 2011
Abstract
The main result of this paper is the following theorem. Let q be a prime and A be an elementary abelian group of order q3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that CG(a)′ is periodic for each a ∈ A#. Then G′ is locally finite.
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- Copyright © Glasgow Mathematical Journal Trust 2011
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