Boğaziçi University Mathematics Colloquium

Prescribing coefficients of invariant irreducible polynomials
Giorgos Kapetanakis
Sabancı Üniversitesi, Turkey
Özet : Let F_q be the finite field of q elements. We define an action of PGL(2,q) on F_q[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. The speaker is supported by TÜB ̇ITAK Project 114F432.
 Tarih : 15.11.2017 Saat : 15:00 Yer : TB 130 Dil : English