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- W46390768 abstract "We show that the Tate-Hochschild cohomology ring $HH^*(RG,RG)$ of a finite group algebra $RG$ is isomorphic to a direct sum of the Tate cohomology rings of the centralizers of conjugacy class representatives of $G$. Moreover, our main result provides an explicit formula for the cup product in $HH^*(RG,RG)$ with respect to this decomposition. As an example, this formula helps us to compute the Tate-Hochschild cohomology ring of the symmetric group $S_3$ with coefficients in a field of characteristic 3." @default.
- W46390768 created "2016-06-24" @default.
- W46390768 creator A5023792328 @default.
- W46390768 date "2012-12-04" @default.
- W46390768 modified "2023-09-27" @default.
- W46390768 title "The Tate-Hochschild cohomology ring of a group algebra" @default.
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