Indecomposable modules for direct products of finite groups
Indecomposable modules for direct products of finite groups
An essentially known result is made explicit and its converse is proved, thereby showing that if $K$ is a field of prime characteristic $p$, $P$ a finite $p$-group and $H$ a finite $p'$-group, then every finitely generated indecomposable $K(P\times H)$-module is a tensor product of an indecomposable $KP$-module with an …