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Results tagged with group-cohomology
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user 89770
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.
10
votes
1
answer
664
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Cohomology of simple finite groups remembers the group?
Let $G$ and $H$ be finite simple groups.
I expect that if $G$ and $H$ are not isomorphic, then their cohomology groups with integral coefficients are not all isomorphic, that is, $H^*(G,\mathbb{Z …
- 403
1
vote
0
answers
150
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Isomorphism in homology
I asked this question on Mathematics SE three days ago, but didn't get the answer.
$\require{AMScd}$Let $G, H, K$ be groups and suppose that we have a diagram
$$\begin{CD}
G @>f_1>> H\\
@Vg_1VV\\
K
\ …
- 403