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

Autor(es):
Andrade, M. G. C. ; Fanti, E. L. C.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: ALGEBRA & DISCRETE MATHEMATICS; v. 9, n. 2, p. 10-pg., 2010-01-01.
Resumo

Let G be a group, let S a subgroup with infinite index in G and let F(s)G be a certain Z(2)G-module. In this paper, using the cohomological invariant E(G, S, F(s)G) or simply E(G, S) (defined in [2]), we analyze some results about splittings of group C over a commensurable with S subgroup which are related with the algebraic obstruction "sing(G)(S)" defined by Kropholler and Roller ([8]. We conclude that E(G,S) can substitute the obstruction "sing(G)(S)" in more general way. We also analyze splittings of groups in the case, when G and S satisfy certain duality conditions. (AU)

Processo FAPESP: 03/10220-6 - Teoria da Gravitação: pertubações de sistemas gravitacionais
Beneficiário:Cecilia Bertoni Martha Hadler Chirenti
Modalidade de apoio: Bolsas no Brasil - Doutorado Direto