On Elkies' method for bounding the transitivity degree of Galois groups
Number Theory
2020-05-22 v2
Abstract
In 2013 Elkies described a method for bounding the transitivity degree of Galois groups. Our goal is to give additional applications of this technique, in particular verifying that the monodromy group of the degree-276 cover defined over a degree-12 number field computed by Monien is isomorphic to the sporadic Conway group Co3.
Cite
@article{arxiv.1905.05624,
title = {On Elkies' method for bounding the transitivity degree of Galois groups},
author = {Dominik Barth and Andreas Wenz},
journal= {arXiv preprint arXiv:1905.05624},
year = {2020}
}
Comments
6 pages. v2: structural changes and a new example