Prescribing coefficients of invariant irreducible polynomials

Kapetanakis, Georgios (2017) Prescribing coefficients of invariant irreducible polynomials. (Accepted/In Press)

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Abstract

Let Fq be the finite field of q elements. We define an action of PGL(2,q) on Fq[X] and study the distribution of the irreducible polynomials that remain invariant under this action for lower-triangular matrices. As a result, we describe the possible values of the coefficients of such polynomials and prove that, with a small finite number of possible exceptions, there exist polynomials of given degree with prescribed high-degree coefficients.
Item Type: Article
Subjects: Q Science > QA Mathematics > QA150-272.5 Algebra
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Georgios Kapetanakis
Date Deposited: 16 Aug 2017 11:29
Last Modified: 26 Apr 2022 09:46
URI: https://research.sabanciuniv.edu/id/eprint/32695

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