Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/69624
Type: Artigo de periódico
Title: Homological finiteness properties of pro-p modules over metabelian pro-p groups
Author: Pinto, AGS
Abstract: We characterize the modules B of homological type FPm over Z(p) [G], where G is a topologically finitely generated metabelian pro-p group that is an extension of A by Q, with A and Q abelian, and B is a finitely generated pro-p Z(p) [Q]-module that is viewed as a pro-p Z(p) [G]-module via the projection G -> Q. The characterization is given in terms of the invariant introduced by King [J.D. King, A geometric invariant for metabelian pro-p groups, J. London Math. Soc. (2) 60 (1) (1999) 83-94] and is a generalization of the case when B = Z(p) is considered as a trivial Z(p) [G]-module that gives the classification of metabelian pro-p groups of type FPm [D.H. Kochloukova, Metabelian pro-p groups of type FPm, J. Group Theory 3 (4) (2000) 419-431]. (c) 2005 Published by Elsevier Inc.
Subject: metabelian pro-p groups
pro-p modules
homological type FPm
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jalgebra.2005.09.002
Date Issue: 2006
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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