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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$F$-split Galois representations are potentially abelian
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by Chandrashekhar Khare PDF
Proc. Amer. Math. Soc. 131 (2003), 3021-3023 Request permission

Abstract:

In this note we relate the property of a semisimple $\ell$-adic Galois representation being “$F$-split” to its having abelian image.
References
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  • Chandrashekhar Khare and C. S. Rajan, The density of ramified primes in semisimple $p$-adic Galois representations, Internat. Math. Res. Notices 12 (2001), 601–607. MR 1836789, DOI 10.1155/S1073792801000319
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  • Jean-Pierre Serre, Abelian $l$-adic representations and elliptic curves, 2nd ed., Advanced Book Classics, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1989. With the collaboration of Willem Kuyk and John Labute. MR 1043865
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Additional Information
  • Chandrashekhar Khare
  • Affiliation: Department of Mathematics, University of Utah, 155 S 1400 E, Salt lake City, Utah 84112
  • Address at time of publication: School of Mathematics, TIFR, Homi Bhabha Road, Mumbai 400 005, India
  • MR Author ID: 602853
  • Email: shekhar@math.utah.edu, shekhar@math.tifr.res.in
  • Received by editor(s): May 13, 2002
  • Published electronically: February 20, 2003
  • Communicated by: David E. Rohrlich
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 3021-3023
  • MSC (2000): Primary 11R32
  • DOI: https://doi.org/10.1090/S0002-9939-03-06954-5
  • MathSciNet review: 1993208