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A Polynomial with Galois Groups SL2(F16)

Published online by Cambridge University Press:  01 February 2010

Johan Bosman
Johan Bosman
Affiliation:
Mathematisch Instituut, Post bus 9512, 2300 RA Leiden, The Netherlands, jgbosman@math.leidenuniv.nl

Abstract

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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.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 378 - 388
Copyright
Copyright © London Mathematical Society 2007

References

reference

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Supplementary material: File

JCM 10 Bosman Appendix A

Bosman Appendix A

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