Projective polynomials

Author:
Shreeram S. Abhyankar

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

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9939-97-03939-7

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

Article copyright:
© Copyright 1997
American Mathematical Society