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More nice equations for nice groups
Author(s):
Shreeram
S.
Abhyankar
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2977-2991.
MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22
MathSciNet review:
1343676
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Abstract:
Nice quintinomial equations are given for unramified coverings of the affine line in nonzero characteristic with PSp and Sp as Galois groups where is any integer and is any power of .
References:
- [A01]
- S. S. Abhyankar, Coverings of algebraic curves, American Journal of Mathematics 79 (1957), 825--856. MR 20:872
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- S. S. Abhyankar, Tame coverings and fundamental groups of algebraic varieties, Part I, American Journal of Mathematics 81 (1959), 46--94. MR 21:3428
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- S. S. Abhyankar, Galois theory on the line in nonzero characteristic, Dedicated to ``Feit-Serre-Email'', Bulletin of the American Mathematical Society 27 (1992), 68--133. MR 94a:12004
- [A04]
- S. S. Abhyankar, Nice equations for nice groups, Israel Journal of Mathematics 88 (1994), 1--24. CMP 95:04
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- [CaK]
- P. J. Cameron and W. M. Kantor, 2-Transitive and antiflag transitive collineation groups of finite projective spaces, Journal of Algebra 60 (1979), 384--422. MR 81c:20032
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- L. E. Dickson, Linear Groups, Teubner, 1901.
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- [LiK]
- M. W. Liebeck and P. Kleidman, The Subgroup Structure of the Finite Classical Groups, Cambridge University Press, 1990. MR 91g:20001
- [Tay]
- D. E. Taylor, The Geometry of the Classical Groups, Heldermann Verlag, Berlin, 1992. MR 94d:20028
- [Tit]
- J. Tits, Buildings of Spherical Type and Finite BN-Pairs, Springer Lecture Notes In Mathematics Number 386, 1974. MR 57:9866
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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:
10.1090/S0002-9939-96-03472-7
PII:
S 0002-9939(96)03472-7
Received by editor(s):
March 21, 1995
Additional Notes:
This work was partly supported by NSF grant DMS 91--01424 and NSA grant MDA 904--92--H--3035.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1996,
American Mathematical Society
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