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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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Projective polynomials
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by Shreeram S. Abhyankar PDF
Proc. Amer. Math. Soc. 125 (1997), 1643-1650 Request permission

Abstract:

Certain nice trinomials have the projective linear groups as their Galois groups. This was proved using considerable group theory. Here is an easier proof based on the observation that the said trinomials are what may be called projective polynomials. It extends the results to a local situation.
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Additional Information
  • Shreeram S. Abhyankar
  • Email: ram@cs.purdue.edu
  • Received by editor(s): January 5, 1996
  • Additional Notes: This work was partly supported by NSF grant DMS 91–01424 and NSA grant MDA 904–92–H–3035.

  • Dedicated: Dedicated to J-P. Serre for his Seventieth Birthday
  • Communicated by: Ronald M. Solomon
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1643-1650
  • MSC (1991): Primary 12F10, 14H30, 20D06, 20E22
  • DOI: https://doi.org/10.1090/S0002-9939-97-03939-7
  • MathSciNet review: 1403111