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Results tagged with group-cohomology
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user 5015
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
Accepted
Is there an explicit description of the corestriction map $H^1(H, M) \rightarrow H^1(G, M)$?
I believe it is the following. Let $f$ be a cocyle for $H$. Take a set of representatives $X$ of $G/H$ in $G$. Then $\operatorname{cor}(f)(g) = \sum_{x \in X} y\cdot f(y^{-1}gx)$ where $y\in X$ is the …
- 8,945
4
votes
Accepted
Tamagawa numbers of abelian varieties and torsion.
There is no general relation between the local $p$-primary torsion and the Tamagawa numbers. I believe one can have $p$-torsion points that map to non-trivial or to the trivial element in the group of …
- 8,945
7
votes
Accepted
Ker of corestriction of Galois cohomology
(Not sure why this question comes up naturally. The more interesting question, and the one analogue to the kernel of restriction, is to ask what is the cokernel of corestriction. That turns up a lot. …
- 8,945
3
votes
Accepted
Difficulties in the proof of finiteness of n-Selmer group using cohomology
(Not sure any of these questions are at the right level for this forum, but here the comments that may help.)
question : Inflation-restriction sequence.
question : The target can be identified with …
- 8,945