Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups

dc.creatorMirzaii
dc.creatorB; Mokari
dc.creatorFY
dc.date2016
dc.date2016-12-06T18:29:27Z
dc.date2016-12-06T18:29:27Z
dc.date.accessioned2018-03-29T02:01:58Z
dc.date.available2018-03-29T02:01:58Z
dc.identifier
dc.identifierPacific Journal Of Mathematics. PACIFIC JOURNAL MATHEMATICS, n. 283, n. 2, p. 381 - 403.
dc.identifier0030-8730
dc.identifierWOS:000379338800008
dc.identifier10.2140/pjm.2016.283.381
dc.identifierhttp://msp.org/pjm/2016/283-2/p08.xhtml
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/319781
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1310547
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.description
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.description
dc.description
dc.description
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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