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Once more nice equations for nice groups
Author(s):
Shreeram
S.
Abhyankar;
Paul
A.
Loomis
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1885-1896.
MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22
MathSciNet review:
1459101
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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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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:
10.1090/S0002-9939-98-04421-9
PII:
S 0002-9939(98)04421-9
Received by editor(s):
December 1, 1996
Additional Notes:
The first author's work was partly supported by NSA grant MDA 904-97-1-0010, and the second author's work was partly supported by a PRF grant at Purdue University.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1998,
American Mathematical Society
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