Processing math: 100%

On certain homological invariant and its relation with Poincaré duality pairs

Maria Gorete Carreira Andrade, Amanda Buosi Gazon, Amanda Ferreira Lima

Abstract


Let G be a group, S={Si,iI} 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 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 Poincar\'e duality for groups and pairs.


Keywords


(co)homology of groups, duality groups, duality pairs, homological invariant

Full Text:

PDF

Refbacks

  • There are currently no refbacks.