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Title: | On certain homological invariant and its relation with Poincaré duality pairs |
Authors: | Andrade, M. G. C. Gazon, A. B. Lima, A. F. |
Keywords: | (co)homology of groups duality pairs duality groups homological invariant. |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | математичні науки; |
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 Z2G-module. In [4] the authors defined a homological invariant E∗(G, S, M), which is “dual” to the cohomological invari- ant 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. |
Description: | Andrade M.G.C.On certain homological invariant and its relation with Poincaré duality pairs / M. G. C. Andrade A. B.Gazon , A. F. Lima // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. - Рp.177-187 |
URI: | http://hdl.handle.net/123456789/4508 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (25). - 2018 |
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