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Results tagged with group-cohomology
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user 8032
In mathematics, group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology. Analogous to group representations, group cohomology looks at the group actions of a group G in an associated G-module M to elucidate the properties of the group.
3
votes
Transfer homomorphisms with coefficients
I think what Charles has written up above is closely related to what Becker and Gottlieb did in
Becker, J. C.; Gottlieb, D. H.
Transfer maps for fibrations and duality.
Compositio Math. 33 (1976), n …
- 18.5k
10
votes
1
answer
588
views
Acyclic aspherical spaces with acyclic fundamental groups
A space $X$ (by which I mean a CW complex) is acyclic if its reduced singular homology $\tilde H_\ast(X;\Bbb Z)$ is trivial in all degrees.
A discrete group $\pi$ is said to be acyclic if its classi …
- 18.5k
10
votes
Proofs of the Stallings-Swan theorem
This is really a comment rather than an answer, but perhaps the answer to your question follows from doing a mathscinet search? I did one and I found the following reference:
Dunwoody, M. J.
Accessi …
- 18.5k
8
votes
1
answer
202
views
Finite domination and Poincaré duality spaces
Here are some definitions:
A space is homotopy finite if it is homotopy equivalent to a finite CW complex.
A space finitely dominated if it is a retract of a homotopy finite space.
A space $X$ is a Po …
- 18.5k