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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Gröbnerian Dickson polynomials


Authors: Müfit Sezer and Özgün Ünlü
Journal: Proc. Amer. Math. Soc. 137 (2009), 1169-1173
MSC (2000): Primary 13A50
Published electronically: November 17, 2008
MathSciNet review: 2465636
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Abstract: Let $ F$ be a finite field and $ k$ be a positive integer. We compute the reduced Gröbner basis for the Hilbert ideal of $ GL_k(F)$ in terms of Dickson invariants of its subgroups.


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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: http://dx.doi.org/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
Published electronically: November 17, 2008
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.