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Type: Artigo de periódico
Title: The Sigma(2)-conjecture for metabelian groups: the general case
Author: Harlander, J
Kochloukova, DH
Abstract: The Bieri-Neumann-Strebel invariant Sigma(m) (G) of a group G is a certain subset of a sphere that contains information about finiteness properties of subgroups of G. In case of a metabelian group G the set Sigma(1) (G) completely characterizes finite presentability and it is conjectured that it also contains complete information about the higher finiteness properties (FPm-conjecture). The Sigma(m)-conjecture states how the higher invariants are obtained from Sigma(1) (G). In this paper we prove the Sigma(2)-conjecture. (C) 2004 Elsevier Inc. All rights reserved.
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/S0021-8693(03)00267-9
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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