Finite groups of OTP projective representation type over a complete discrete valuation domain of positive characteristic

Abstract

Let $S$ be a commutative complete discrete valuation domain of positive characteristic $p$, $S^*$ the unit group of $S$, $\varOmega $ a subgroup of $S^*$ and $G=G_p\times B$ a finite group, where $G_p$ is a $p$-group and $B$ is a $p'$-group. Denote by $S^