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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.

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Lower central series quotients in terms of (co)homology

I can provide the following results relating to the question about lower central series quotients and group cohomology. Denote $gr(G;\mathbb{Q}):=\oplus_{i\geq 0}G_i/G_{i+1}\otimes_{\mathbb{Z}} \mat …
He Wang's user avatar
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