Equivariant Hochschild cohomology of group algebras and relative $\mathrm{Ext}$

Andrada Pojar, Constantin-Cosmin Todea

For a finite group $\Gamma$, acting on a finite group $G,$ we find necessary conditions for which the first ${\Gamma }_0$-equivariant Hochschild cohomology of the group algebra $kG$ is non-triv…