Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincaré 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 Poincaré duality pair when W is infinite.
@article{bwmeta1.element.doi-10_1515_math-2015-0035,
author = {Maria Gorete Carreira Andrade and Erm\'\i nia de Lourdes Campello Fanti and L\'\i gia La\'\i s F\^emina},
title = {On Poincar\'e duality for pairs (G,W)},
journal = {Open Mathematics},
volume = {13},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0035}
}
Maria Gorete Carreira Andrade; Ermínia de Lourdes Campello Fanti; Lígia Laís Fêmina. On Poincaré duality for pairs (G,W). Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0035/
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