Galois groups of some vectorial polynomials

Authors:
Shreeram S. Abhyankar and Nicholas F. J. Inglis

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

Published electronically:
January 29, 2001

MathSciNet review:
1828480

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9947-01-02744-1

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

Article copyright:
© Copyright 2001
American Mathematical Society