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Tagged with nonabelian-cohomology gr.group-theory
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Non-abelian group cohomology, additional information
Let $G$ be a (profinite) group, and let $M$ be a non-abelian $G$-module.
We know how to construct reasonably $H^0(G,M)$ and $H^1(G,M)$ and it turns out that $H^1(G,M)$ is just a pointed set and not ...
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$G\cdot H$ with $G,H$ non-Abelian finite simple
Can a non-split extension of one non-Abelian finite simple group by another exist?