2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72568Let $G=D_p$ be the dihedral group of order $2p$, where $p$ is an odd prime. Let $k$ an algebraically closed field of characteristic $p$. We show that any action of $G$ on the ring $k[[y]]$ can be lifted to an action on $R[[y]]$, where $R$ is some complete discrete valuation ring with residue field $k$ and fraction field of characteristic 0.28 pagesAlgebraic GeometryNumber Theory14H37; 11G20; 14D15text