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Type: Artigo de periódico
Title: On subdirect products of type FPm of limit groups
Author: Kochloukova, DH
Abstract: We show that limit groups are free-by-(torsion-free nilpotent) and have non-positive Euler characteristic. We prove that for any non-abelian limit group the Bieri-Neumann-Strebel-Renz S-invariants are the empty set. Let s >= 3 be a natural number and G be a subdirect product of non-abelian limit groups intersecting each factor non-trivially. We show that the homology groups of any subgroup of finite index in G, in dimension i <= s and with coefficients in Q, are finite-dimensional if and only if the projection of G to the direct product of any s of the limit groups has finite index. The case s 2 is a deep result of M. Bridson, J. Howie, C. F. Miller III and H. Short.
Country: Alemanha
Editor: Walter De Gruyter & Co
Rights: embargo
Identifier DOI: 10.1515/JGT.2009.028
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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