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Results tagged with gr.group-theory
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user 5015
Questions about the branch of algebra that deals with groups.
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
3
votes
Centralizers of Cartan subgroups
I believe the answer is yes. It is really a group theory question, so I am not the best person to answer this.
If $N$ is prime: The centraliser $Z_G(C)$ is included in $N_G(C)$. Since the action by c …
- 8,945