A Polynomial with Galois Groups SL2(F16)-Reference-Cited by-同舟云学术

A Polynomial with Galois Groups SL2(F16)

Published:2007 Issue: Volume:10 Page:378-388
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

Bosman Johan

Abstract

In this paper we display an explicit polynomial having Galois group SL2(F16), filling in a gap in the tables of Jürgen Klüners and Gunter Malle. Furthermore, the polynomial has small Galois root discriminant; this fact answers a question of John Jones and David Roberts. The computation of this polynomial uses modular forms and their Galois representations.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference27 articles.

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