a1 Via Francesco Crispi, n.81 San Benedetto del Tronto (AP) Italy e-mail: email@example.com
a2 Department of Mathematics and Statistics, Federal University of Goiás, Goiânia-GO, 74001-970, Brazil e-mail: firstname.lastname@example.org
a3 Department of Mathematics, University of Brasilia, Brasilia-DF 70910-900, Brazil e-mail: email@example.com
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.
(Received December 03 2010)
(Accepted April 28 2011)
(Online publication August 02 2011)
2010 Mathematics Subject Classification