Semilinear transformations

Author:
Shreeram S. Abhyankar

Journal:
Proc. Amer. Math. Soc. **127** (1999), 2511-2525

MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22

Published electronically:
May 4, 1999

MathSciNet review:
1676323

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Abstract | References | Similar Articles | Additional Information

Abstract: In previous papers, nice trinomial equations were given for unramified coverings of the once punctured affine line in nonzero characteristic with the projective general group and the general linear group as Galois groups where is any integer and is any power of . These Galois groups were calculated over an algebraically closed ground field. Here we show that, when calculated over the prime field, as Galois groups we get the projective general semilinear group and the general semilinear group . We also obtain the semilinear versions of the local coverings considered in previous papers.

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Additional Information

**Shreeram S. Abhyankar**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Email:
ram@cs.purdue.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-99-05400-3

Received by editor(s):
March 5, 1997

Received by editor(s) in revised form:
July 2, 1997

Published electronically:
May 4, 1999

Additional Notes:
This work was partly supported by NSF grant DMS 91-01424 and NSA grant MDA 904-97-1-0010

Communicated by:
Ron Donagi

Article copyright:
© Copyright 1999
American Mathematical Society