Artin characters, Hurwitz trees and the lifting problem

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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.
Remark 4.4 and Lemma 4.5 added

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Algebraic Geometry, Number Theory, 14H37; 11G20; 14D15

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http://salesiana.dossiersoluciones.com/handle/123456789/209181

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.3603
 http://arxiv.org/abs/0810.3603

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arXiv