Once more nice equations for nice groups
Authors:
Shreeram S. Abhyankar and Paul A. Loomis
Journal:
Proc. Amer. Math. Soc. 126 (1998), 18851896
MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22
MathSciNet review:
1459101
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Abstract 
References 
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Abstract: In a previous paper, nice quintinomial equations were given for unramified coverings of the affine line in nonzero characteristic with the projective symplectic isometry group PSp and the (vectorial) symplectic isometry group Sp as Galois groups where is any integer and is any power of . Here we deform these equations to get nice quintinomial equations for unramified coverings of the once punctured affine line in characteristic with the projective symplectic similitude group PGSp and the (vectorial) symplectic similitude group GSp as Galois groups.
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 S. S. Abhyankar, Factorizations over finite fields, Finite Fields and Applications, London Mathematical Society, Lecture Note Series 233 (1996), 121. CMP 97:08
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 S. S. Abhyankar, Projective polynomials, Proceedings of the American Mathematical Society 125 (1997), 16431650. CMP 97:07
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 F. Buekenhout and E. E. Shult, On the foundations of polar geometry, Geometriae Dedicata 3 (1974), 155170. MR 50:3091
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 P. J. Cameron and W. M. Kantor, 2transitive and antiflag transitive collineation groups of finite projective spaces, Journal of Algebra 60 (1979), 384422. MR 81c:20032
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 B. L. van der Waerden, Modern Algebra, vol I, Frederick Ungar Publishing Co., New York, 1949.
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Additional Information
Shreeram S. Abhyankar
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
ram@cs.purdue.edu
Paul A. Loomis
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
loomisp@math.purdue.edu
DOI:
http://dx.doi.org/10.1090/S0002993998044219
PII:
S 00029939(98)044219
Received by editor(s):
December 1, 1996
Additional Notes:
The first author’s work was partly supported by NSA grant MDA 9049710010, and the second author’s work was partly supported by a PRF grant at Purdue University.
Communicated by:
Ronald M. Solomon
Article copyright:
© Copyright 1998
American Mathematical Society
