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Deformation data, Belyi maps, and the local lifting problem

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 0801.1418
Source
arXiv
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Unknown
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Abstract

We prove existence and nonexistence results for certain differential forms in positive characteristic, called {\em good deformation data}. Some of these results are obtained by reduction modulo $p$ of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow $p$-subgroup of order $p$.

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