On Poincare duality for pairs (G,W)
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Data
2015-05-28
Autores
Carreira Andrade, Maria Gorete [UNESP]
Campello Fanti, Ermnia de Lourdes [UNESP]
Femina, Ligia Lais
Título da Revista
ISSN da Revista
Título de Volume
Editor
De Gruyter Open Ltd
Resumo
Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincare duality pair (G, W), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We also prove, through a cohomological invariant, a necessary condition for a pair (G, W) to be a Poincare duality pair when W is infinite.
Descrição
Palavras-chave
Poincare duality pairs, Cohomology of groups, Cohomological invariants
Como citar
Open Mathematics. Warsaw: De Gruyter Open Ltd, v. 13, p. 363-371, 2015.