A one--parameter family of polynomials with Galois group M24 over Q(t)
Number Theory
2012-04-06 v1 Group Theory
Abstract
Granboulan computed an explicit polynomial whose Galois group over the rational function field Q(t) is the Mathieu group M24. By a result of Malle and Matzat, it was known before that such a polynomial exists. Even more, their proof showed that there is a 1-parameter family of such polynomials. In this note we compute this family.
Cite
@article{arxiv.1204.1328,
title = {A one--parameter family of polynomials with Galois group M24 over Q(t)},
author = {Peter Mueller},
journal= {arXiv preprint arXiv:1204.1328},
year = {2012}
}
Comments
8 pages