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Bulletin of the London Mathematical Society Advance Access originally published online on August 20, 2008
Bulletin of the London Mathematical Society 2008 40(6):929-936; doi:10.1112/blms/bdn070
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© 2008 London Mathematical Society

Virtually free pro-p groups whose torsion elements have finite centralizer

W. Herfort

Institute for Analysis and Scientific Computing
University of Technology Wiedner Hauptstrasse
8-10 A-1040 Vienna

P. A. Zalesskii

Department of Mathematics
University of Brasilia
7010-900 Brasilia, DF
Brazil
pz@mat.unb.br

Received 4 November 2007. Revision received 20 May 2008.

A finitely generated virtually free pro-p group with finite centralizers of its torsion elements is the free pro-p product of finite p-groups and a free pro-p factor.

2000 Mathematics Subject Classification 20E18 (primary), 20E06, 22C05 (secondary).

The first author would like to thank the UNC for their hospitality during February 2003. The second author expresses his thanks for the support received through CNPq.


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