The local lifting problem for dihedral groups

2004/09/21 by Irene I. Bouw, Stefan Wewers, Bouw, Irene I. +1
Engineering · Mathematics · #11G20 #14D15 #14H37 #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Number Theory (math.NT) #graph theory and CDMA systems #math.AG #math.NT #msc:11G20 #msc:14D15 #msc:14H37

paper · pdf · doi:10.48550/arxiv.math/0409395

28 pages

openalex publication_date 2004/09/21 · arxiv created 2004/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let 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.

Related

• The Local Lifting Problem for D₄
• An obstruction to the local lifting problem
• Liftable D₄-Covers
• The local lifting problem for (ℤ/2ℤ)³
• The local lifting problem for actions of finite groups on curves