EN
Assume that S is a commutative complete discrete valuation domain of characteristic p, S* is the unit group of S and $G = G_{p} × B$ is a finite group, where $G_{p}$ is a p-group and B is a p'-group. Denote by $S^λ G$ the twisted group algebra of G over S with a 2-cocycle λ ∈ Z²(G,S*). We give necessary and sufficient conditions for $S^λ G$ to be of OTP representation type, in the sense that every indecomposable $S^λ G$-module is isomorphic to the outer tensor product V # W of an indecomposable $S^λ G_{p}$-module V and an irreducible $S^λ B$-module W.