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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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Galois groups of some vectorial polynomials
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by Shreeram S. Abhyankar and Nicholas F. J. Inglis PDF
Trans. Amer. Math. Soc. 353 (2001), 2941-2969 Request permission

Abstract:

Previously nice vectorial equations were constructed having various finite classical groups as Galois groups. Here such equations are constructed for the remaining classical groups. The previous equations were genus zero equations. The present equations are strong genus zero.
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Additional Information
  • Shreeram S. Abhyankar
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • Email: ram@cs.purdue.edu
  • Nicholas F. J. Inglis
  • Affiliation: Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod, Postal Code 123, Sultanate of Oman
  • Email: ninglis@squ.edu.om
  • Received by editor(s): March 22, 2000
  • Published electronically: January 29, 2001
  • Additional Notes: Abhyankar’s work was partly supported by NSF Grant DMS 97-32592 and NSA grant MDA 904-99-1-0019
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 2941-2969
  • MSC (2000): Primary 12F10, 14H30, 20D06, 20E22
  • DOI: https://doi.org/10.1090/S0002-9947-01-02744-1
  • MathSciNet review: 1828480