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Gröbnerian Dickson polynomials
Author(s):
Müfit
Sezer;
Özgün
Ünlü
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1169-1173.
MSC (2000):
Primary 13A50
Posted:
November 17, 2008
MathSciNet review:
2465636
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Abstract:
Let  be a finite field and  be a positive integer. We compute the reduced Gröbner basis for the Hilbert ideal of  in terms of Dickson invariants of its subgroups.
References:
-
- 1.
- H. E. A. Campbell, I. P. Hughes, R. J. Shank, and D. L. Wehlau, Bases for rings of coinvariants, Transform. Groups 1 (1996), no. 4, 307-336. MR 1424447 (98a:13011)
- 2.
- Leonard Eugene Dickson, A fundamental system of invariants of the general modular linear group with a solution of the form problem, Trans. Amer. Math. Soc. 12 (1911), no. 1, 75-98. MR 1500882
- 3.
- Robert Steinberg, On Dickson's theorem on invariants, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 699-707. MR 927606 (89c:11177)
- 4.
- Bernd Sturmfels, Gröbner bases and convex polytopes, University Lecture Series, vol. 8, American Mathematical Society, Providence, RI, 1996. MR 1363949 (97b:13034)
- 5.
- Clarence Wilkerson, A primer on the Dickson invariants, Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982), Contemp. Math., vol. 19, Amer. Math. Soc., Providence, RI, 1983, pp. 421-434. MR 711066 (85c:55017)
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Additional Information:
Müfit
Sezer
Affiliation:
Department of Mathematics, Bilkent University, Ankara 06800, Turkey
Özgün
Ünlü
Affiliation:
Department of Mathematics, Bilkent University, Ankara 06800, Turkey
DOI:
10.1090/S0002-9939-08-09758-X
PII:
S 0002-9939(08)09758-X
Keywords:
Dickson polynomials,
Gr\"{o}bner basis,
Hilbert ideal
Received by editor(s):
February 25, 2008
Posted:
November 17, 2008
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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