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Type: Artigo de periódico
Title: Profinite completions of orientable Poincare duality groups of dimension four and Euler characteristic zero
Author: Kochloukova, DH
Abstract: Let p be a prime number, T a class of finite groups closed under extensions, subgroups and quotients, and suppose that the cyclic group of order p is in T. We find some sufficient and necessary conditions for the pro- T completion of an abstract orientable Poincare duality group G of dimension 4 and Euler characteristic 0 to be a profinite orientable Poincare duality group of dimension 4 at the prime p with Euler p-characteristic 0. In particular we show that the pro- p completion (G) over cap (p) of G is an orientable Poincare duality pro- p group of dimension 4 and Euler characteristic 0 if and only if G is p-good.
Subject: Poincare duality group
profinite completion
p-good group
Country: Suíça
Editor: European Mathematical Soc
Rights: aberto
Date Issue: 2009
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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