Derived Subgroups of Fixed Points in Profinite Groups
Group Theory
2011-08-03 v1
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.
Keywords
Cite
@article{arxiv.1108.0655,
title = {Derived Subgroups of Fixed Points in Profinite Groups},
author = {C. Acciarri and A. de Souza Lima and P. Shumyatsky},
journal= {arXiv preprint arXiv:1108.0655},
year = {2011}
}
Comments
To appear in Glasgow Mathematical Journal (2011). 11 pages