Abstract
We prove a Poincaré duality theorem for finite groups, where the (co)homologies involved are a variant of classical group cohomology due to Zarelua and Staic, denoted by Hλ⁎. In particular, we show that in certain cases (but not always), for a finite group G of order n and a G-module M, we have the isomorphismHλn−i−1(G,M)→≅Hiλ(G,Mtw), where Mtw is a twisting of M defined in Section 5.
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