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Type: Artigo de periódico
Title: The ∑2-conjecture For Metabelian Groups: The General Case
Author: Harlander J.
Kochloukova D.H.
Abstract: The Bieri-Neumann-Strebel invariant ∑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 ∑1 (G) completely characterizes finite presentability and it is conjectured that it also contains complete information about the higher finiteness properties (FPm-conjecture). The ∑m-conjecture states how the higher invariants are obtained from ∑1 (G). In this paper we prove the ∑2-conjecture. © 2004 Elsevier Inc. All rights reserved.
Rights: fechado
Identifier DOI: 10.1016/S0021-8693(03)00267-9
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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