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A note about splittings of groups and commensurability under a cohomological point of view

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dc.contributor.author Maria Gorete Carreira Andrade
dc.contributor.author Ermınia de Lourdes Campelloi Fanti
dc.date.accessioned 2019-06-15T16:11:48Z
dc.date.available 2019-06-15T16:11:48Z
dc.date.issued 2010
dc.identifier.citation A note about splittings of groups and commensurability under a cohomological point of view / Maria Gorete Carreira Andrade, Ermınia de Lourdes Campelloi Fanti // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 1–10. — Бібліогр.: 13 назв. — англ. uk_UA
dc.identifier.issn 1726-3255
dc.identifier.other 2000 Mathematics Subject Classification:20J05, 20J06; 20E06
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/154500
dc.description.abstract Let G be a group, let S be a subgroup with infinite index in G and let FSG be a certain Z2G-module. In this paper, using the cohomological invariant E(G,S,FSG) or simply E~(G,S) (defined in [2]), we analyze some results about splittings of group G over a commensurable with S subgroup which are related with the algebraic obstruction ``singG(S)" defined by Kropholler and Roller ([8]. We conclude that E~(G,S) can substitute the obstruction ``singG(S)" in more general way. We also analyze splittings of groups in the case, when G and S satisfy certain duality conditions. uk_UA
dc.description.sponsorship The authors participate of Project Number 04/10229-6 - supported by FAPESP.The first author is also partially supported by MEC-SESu uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут прикладної математики і механіки НАН України uk_UA
dc.relation.ispartof Algebra and Discrete Mathematics
dc.title A note about splittings of groups and commensurability under a cohomological point of view uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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