Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/244207
Type: Artigo
Title: Virtual rational betti numbers of abelian-by-polycyclic groups
Author: Kochloukova, D.H.
Mokari, F.Y.
Abstract: Let 1 -> A -> G -> Q -> 1 be an exact sequence of groups, where A is abelian, Q is polycyclic and circle times(k)(Q)(A circle times(z)Q) is finitely generated as QQ-module via the diagonal Q-action for k <= 2m. Moreover we assume that if G is not metabelian, then it is of type FP3. Our main result is that sup dim(Q) H-j(U, ) < infinity for 0 <= j <= m, UA where A is the set of all subgroups of finite index in G. (C) 2015 Elsevier Inc. All rights reserved.
Let 1 -> A -> G -> Q -> 1 be an exact sequence of groups, where A is abelian, Q is polycyclic and circle times(k)(Q)(A circle times(z)Q) is finitely generated as QQ-module via the diagonal Q-action for k <= 2m. Moreover we assume that if G is not metabeli
Subject: Grupos metabelianos
Artin, Grupos de
Grupos abelianos
Homologia (Matemática)
Grupos solúveis
Country: Estados Unidos
Editor: Elsevier
Citation: Virtual Rational Betti Numbers Of Abelian-by-polycyclic Groups. Academic Press Inc Elsevier Science, v. 443, p. 75-98 DEC-2015.
Rights: Fechado
Identifier DOI: 10.1016/j.jalgebra.2015.07.005
Address: https://www.sciencedirect.com/science/article/pii/S0021869315003439
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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