English

Hopf-Galois structures on finite extensions with quasisimple Galois group

Group Theory 2022-12-08 v2 Number Theory

Abstract

Let L/KL/K be a finite Galois extension of fields with Galois group GG. It is known that L/KL/K admits exactly two Hopf-Galois structures when GG is non-abelian simple. In this paper, we extend this result to the case when GG is quasisimple.

Keywords

Cite

@article{arxiv.2001.05718,
  title  = {Hopf-Galois structures on finite extensions with quasisimple Galois group},
  author = {Cindy Tsang},
  journal= {arXiv preprint arXiv:2001.05718},
  year   = {2022}
}

Comments

Accepted version. Sections 4.1 and 4.2 have been swapped