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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 28, 2015

On Poincaré duality for pairs (G,W)

  • Maria Gorete Carreira Andrade , Ermínia de Lourdes Campello Fanti and Lígia Laís Fêmina
From the journal Open Mathematics


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.


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Received: 2014-5-2
Accepted: 2015-2-3
Published Online: 2015-5-28

©2015 Maria Gorete Carreira Andrade et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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