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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.

12 votes
3 answers
1k views

Lyndon–Hochschild–Serre spectral sequence for a non-normal subgroup

Is there an analogue of the Lyndon–Hochschild–Serre spectral sequence for a non-normal subgroup? What can you say about it? Can you describe $E^{p, q}_1$ ? What is about $E^{p, q}_2$? What is the bes …
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  • 385
5 votes
0 answers
193 views

Continuous cohomology via model category

Is it possible to formulate notion of continuous cohomology in terms of model categories? If yes, then is there a reference for this?
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