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Results tagged with group-cohomology
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user 4790
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.
7
votes
Group cohomology of orthogonal groups with integer coefficient
When $n$ is a prime, the additive structure of $H^*(BPU_n, \mathbb Z)$ has been computed independently in
Kameko, Masaki; Yagita, Nobuaki, The Brown-Peterson cohomology of the classifying spaces of t …
- 27k
25
votes
Are all Galois cohomology groups also étale cohomology groups?
If $L/K$ is a Galois extension, then one can define a site in which the objects are intermediate fields $K \subseteq E \subseteq L$ which are finite over $K$. Or, you can take finite étale algebras $A …
- 27k