Lightly ramified number fields with Galois group $S.M_{12}.A$

David P. Roberts

Lightly ramified number fields with Galois group $S.M_{12}.A$

Number Theory 2014-04-03 v1

Authors: David P. Roberts

Abstract

We specialize various three-point covers to find number fields with Galois group $M_{12}$ , $M_{12}.2$ , $2.M_{12}$ , or $2.M_{12}.2$ and light ramification in various senses. One of our $2.M_{12}.2$ fields has the unusual property that it is ramified only at the single prime $11$ .

Keywords

number fields Galois group Mathieu group M12 ramification three-point covers specialization

Cite

@article{arxiv.1404.0429,
  title  = {Lightly ramified number fields with Galois group $S.M_{12}.A$},
  author = {David P. Roberts},
  journal= {arXiv preprint arXiv:1404.0429},
  year   = {2014}
}

Comments

25 pages, 3 figures

Related papers

View all related →