Artin characters, Hurwitz trees and the lifting problem

Details Artin characters, Hurwitz trees and the lifting problem Artin characters, Hurwitz trees and the lifting problem

2008-10-20

arxiv.org/abs/0810.3603v3

Mathematics

Algebraic Geometry

Remark 4.4 and Lemma 4.5 added

Scientific paper

We study finite groups of automorphisms of the $p$-adic open disk. In
particular, we generalize results of Green, Matignon and Henrio from cyclic
groups of order $p$ to arbitrary finite groups. As an application, we produce a
counterexample to a question of Chinburg, Guralnick and Harbater, concerning
the local lifting problem for generalized quaternion groups.

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