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Dec 10, 2012 at 15:56 comment added Chris Birkbeck Yeah by non-Tate I just ment usual homology and cohomology groups, this is why I was wondering about cap-products as they seem to work more generally than the cup-product.
Dec 10, 2012 at 0:56 comment added Mariano Suárez-Álvarez For arbitrary groups neither the OP not I talked about Tate cohomology, btw.
Dec 9, 2012 at 22:22 comment added Mariano Suárez-Álvarez Non-Tate surely means the usual homology and cohomology of a group.
Dec 9, 2012 at 21:37 comment added Demin Hu This is a comment. But I'm not able to comment on your question, so I'm posting these questions as answer: 1. What do you mean by "non-Tate cohomology and homology groups" ? 2. How is $\hat{H}^{-r}(G,M)$ defined if $r> 0$ and $G$ is an arbitrary group ?
Dec 9, 2012 at 10:39 vote accept Chris Birkbeck
Dec 8, 2012 at 19:19 answer added Mariano Suárez-Álvarez timeline score: 1
Dec 8, 2012 at 18:10 history asked Chris Birkbeck CC BY-SA 3.0