On Poincare duality for pairs (G,W)

Autor(es)

Carreira Andrade, Maria Gorete ^[1] ; Campello Fanti, Ermnia de Lourdes ^[1] ; Femina, Ligia Lais ^[2]

Afiliação do(s) autor(es)

^[1] Sao Paulo State Univ, UNESP, IBILCE, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[2] Univ Fed Uberlandia, FAMAT, BR-38408100 Uberlandia, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: OPEN MATHEMATICS; v. 13, p. 363-371, MAY 28 2015.
• Citações Web of Science: 1

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. (AU)

• Processo FAPESP: 12/24454-8 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático