English

A polynomial with Galois group SL2(F16)

Number Theory 2007-05-23 v1

Abstract

In this paper we show an explicit polynomial in Q[x] that has Galois group SL2(F16), filling in a gap in the tables of Juergen Klueners and Gunther Malle. The computation of this polynomial uses modular forms and their Galois representations.

Keywords

Cite

@article{arxiv.math/0701442,
  title  = {A polynomial with Galois group SL2(F16)},
  author = {Johan Bosman},
  journal= {arXiv preprint arXiv:math/0701442},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:49:24.316Z