The local lifting problem for dihedral groups

Details The local lifting problem for dihedral groups The local lifting problem for dihedral groups

2004-09-21

arxiv.org/abs/math/0409395v2

Mathematics

Algebraic Geometry

28 pages

Scientific paper

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.

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