On certain homological invariant and its relation with poincaré duality pairs
| dc.contributor.author | Andrade, Maria Gorete Carreira [UNESP] | |
| dc.contributor.author | Gazon, Amanda Buosi | |
| dc.contributor.author | de Lima, Amanda Ferreira | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universidade Federal de São Carlos (UFSCar) | |
| dc.date.accessioned | 2018-12-11T17:37:50Z | |
| dc.date.available | 2018-12-11T17:37:50Z | |
| dc.date.issued | 2018-01-01 | |
| dc.description.abstract | Let G be a group, S = {Si, i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a ℤ2 G-module. In [4] the authors defined a homological invariant E∗ (G, S, M), which is “dual” to the cohomological invariant E(G, S, M), defined in [1]. In this paper we present a more general treatment of the invariant E∗ (G, S, M) obtaining results and properties, under a homological point of view, which are dual to those obtained by Andrade and Fanti with the invariant E(G, S, M). We analyze, through the invariant E∗ (G, S, M), properties about groups that satisfy certain finiteness conditions such as Poincaré duality for groups and pairs. | en |
| dc.description.affiliation | UNESP-Universidade Estadual Paulista Departamento de Matemática, Rua Cristovão Colombo, 2265 | |
| dc.description.affiliation | UFSCAR-Universidade Federal de São Carlos Centro de Ciências Exatas e Tecnologia Departamento de Estatística, Rodovia Washington Luís, km 235 | |
| dc.description.affiliationUnesp | UNESP-Universidade Estadual Paulista Departamento de Matemática, Rua Cristovão Colombo, 2265 | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorshipId | FAPESP: 2012/24454-8 | |
| dc.format.extent | 177-187 | |
| dc.identifier.citation | Algebra and Discrete Mathematics, v. 25, n. 2, p. 177-187, 2018. | |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.lattes | 3186337502957366 | |
| dc.identifier.scopus | 2-s2.0-85050584528 | |
| dc.identifier.uri | http://hdl.handle.net/11449/180057 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.relation.ispartofsjr | 0,241 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.subject | (co)homology of groups | |
| dc.subject | Duality groups | |
| dc.subject | Duality pairs | |
| dc.subject | Homological invariant | |
| dc.title | On certain homological invariant and its relation with poincaré duality pairs | en |
| dc.type | Artigo | |
| unesp.author.lattes | 3186337502957366 |