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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Deformation data, Belyi maps, and the local lifting problem
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by Irene I. Bouw, Stefan Wewers and Leonardo Zapponi PDF
Trans. Amer. Math. Soc. 361 (2009), 6645-6659 Request permission

Abstract:

We prove existence and nonexistence results for certain differential forms in positive characteristic, called 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 $p$.
References
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Additional Information
  • Irene I. Bouw
  • Affiliation: Institut fuer Reine Mathematik, University of Ulm, Helmholtzstr 18, D-89069 Ulm, Germany
  • Email: irene.bouw@uni-ulm.de
  • Stefan Wewers
  • Affiliation: Institut fuer Algebra, Zahlentheorie und Diskrete Mathematik, University of Hannover, Welfengarten 1, D-30167, Hannover, Germany
  • MR Author ID: 652833
  • Email: wewers@math.uni-hannover.de
  • Leonardo Zapponi
  • Affiliation: Équipe de théorie des nombres, Université Pierre et Marie Curie (Paris 6), 175, rue du Chevaleret, 75013 Paris, France
  • Email: zapponi@math.jussieu.fr
  • Received by editor(s): January 29, 2008
  • Received by editor(s) in revised form: February 27, 2008
  • Published electronically: July 24, 2009
  • © Copyright 2009 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 6645-6659
  • MSC (2000): Primary 11G20; Secondary 14D15
  • DOI: https://doi.org/10.1090/S0002-9947-09-04773-4
  • MathSciNet review: 2538609