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Results tagged with group-cohomology
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user 22709
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.
5
votes
Inseparable Galois Cohomology
I cannot answer your question, but point to the right algebraic framework in my opinion:
There is a well worked out classical (but somewhat underestimated) theory of inseparable Galois extensions. It …
- 1,846
5
votes
2
answers
1k
views
symmetric 2-cocycle / many projective representations
Let $G$ be a finite group, $k$ the field of complex numbers.
Are there (cohomologically nontrivial) group 2-cocycles $\sigma\in Z^2(G,k^\times)$ such that for all $g,h\in G$:
$$\sigma(g,h)=\si …
- 1,846