Artin characters, Hurwitz trees and the lifting problem
Algebraic Geometry
2008-12-02 v3 Number Theory
Abstract
We study finite groups of automorphisms of the -adic open disk. In particular, we generalize results of Green, Matignon and Henrio from cyclic groups of order 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.
Keywords
Cite
@article{arxiv.0810.3603,
title = {Artin characters, Hurwitz trees and the lifting problem},
author = {Louis Hugo Brewis and Stefan Wewers},
journal= {arXiv preprint arXiv:0810.3603},
year = {2008}
}
Comments
Remark 4.4 and Lemma 4.5 added