Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups

dc.creatorMirzaii
dc.creatorBehrooz; Mokari
dc.creatorFatemeh Y.
dc.date2016
dc.dateagos
dc.date2017-11-13T11:33:46Z
dc.date2017-11-13T11:33:46Z
dc.date.accessioned2018-03-29T05:48:06Z
dc.date.available2018-03-29T05:48:06Z
dc.identifierPacific Journal Of Mathematics. Pacific Journal Mathematics, v. 283, p. 381 - 403, 2016.
dc.identifier0030-8730
dc.identifierWOS:000379338800008
dc.identifier10.2140/pjm.2016.283.381
dc.identifierhttps://msp.org/pjm/2016/283-2/p08.xhtml
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/326321
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1363327
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionWe 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.
dc.description283
dc.description2
dc.description381
dc.description403
dc.descriptionCapes/CNPq Ph.D. grant
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.languageEnglish
dc.publisherPacific Journal Mathematics
dc.publisherBerkeley
dc.relationPacific Journal of Mathematics
dc.rightsfechado
dc.sourceWOS
dc.subjectVirtual Betti Numbers
dc.subjectHomology Of Groups
dc.subjectNilpotent-by-abelian Groups
dc.subjectNilpotent Action
dc.titleVirtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
dc.typeArtículos de revistas


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