Let $G$ be a finite group and $k$ be an algebraically closed field. Consider $k^{*}$ multiplicative subgroup with trivial $G$-module structure. Then I want to prove that $H^{2}(G,k^{*})$ is finite.
Kindly explain in detail. Thanks in advance!
2026-03-31 07:13:16.1774941196
A question regarding finite group cohomology
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