If there is a finite group $G$ with a cyclic normal subgroup $C_n$, one can describe the indecomposable representations of $G$ through induction. How does $Ind_{C_n}^G$ decompose? …

let $G$ be a finite non-abelian simple group.If there exist $p$ and $q$ which are different prime numbers of $|G|$ such that $n_p(G)=n_q(G)$?

Hello, The question (similar to MO.96531) is about the article by Professor Kazuya Kato in this book. In this article, Professor Kato indicates the contents of the second part. …