2 problems

Let $G=\mathbb{Z}/2^r\mathbb{Z}\times\mathbb{Z}/2^s\mathbb{Z}$, and let $\Bbbk\alpha(r,s)$ be the Hopf algebra with the alternative comultiplication used to define the tensor produ…

Let $V$ be an odd-dimensional indecomposable representation of a finite $2$-group $G$ over an algebraically closed field $\Bbbk$ of characteristic $2$. Assuming the relevant tensor…