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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On purity of inertia
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by David Harbater
Proc. Amer. Math. Soc. 112 (1991), 311-319
DOI: https://doi.org/10.1090/S0002-9939-1991-1064903-4
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Abstract:

This paper considers the phenomenon of inertia groups jumping at regular points of the branch locus of a cover, especially in mixed characteristic. After giving conditions under which this cannot occur, these ideas are applied to the problem of obtaining groups as Galois groups of unramified covers of the affine line in finite characteristic.
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Bibliographic Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 311-319
  • MSC: Primary 14E22; Secondary 12F12, 14G20, 14H30
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1064903-4
  • MathSciNet review: 1064903