English

$PGL_2(\mathbb{F}_\ell)$ number fields with rational companion forms

Number Theory 2016-11-22 v1

Abstract

We give a list of PGL2(F)PGL_2(\mathbb{F}_\ell) number fields for 11\ell \geq 11 which have rational companion forms. Our list has fifty-three fields and seems likely to be complete. Some of the fields on our list are very lightly ramified for their Galois group.

Cite

@article{arxiv.1611.06628,
  title  = {$PGL_2(\mathbb{F}_\ell)$ number fields with rational companion forms},
  author = {David P. Roberts},
  journal= {arXiv preprint arXiv:1611.06628},
  year   = {2016}
}
R2 v1 2026-06-22T16:58:43.314Z