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Type: Artigo de Periódico
Title: Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
Author: Mirzaii
B; Mokari
Abstract: We study the virtual rational Betti numbers of a nilpotent-by-abelian group G, where the abelianization N/N' of its nilpotent part N satisfies certain tameness property. More precisely, we prove that if N/N' is 2(c(n-1)-1)-tame as a G/N-module, where c is the nilpotency class of N, then vb(j)(G) := sup dim(Q) H-j(M, Q) M epsilon A(G) is finite for all 0 <= j <= n, where A(G) is the set of all finite- index subgroups of G.
Subject: Virtual Betti Numbers
Homology Of Groups
Nilpotent-by-abelian Groups
Nilpotent Action
Citation: Pacific Journal Of Mathematics. PACIFIC JOURNAL MATHEMATICS, n. 283, n. 2, p. 381 - 403.
Rights: fechado
Identifier DOI: 10.2140/pjm.2016.283.381
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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