English

Regular orbits of coprime linear groups in large characteristic

Representation Theory 2017-02-20 v1

Abstract

We prove that a finite coprime linear group G in characteristic p>=(|G|-1)/2 has a regular orbit. This bound on p is best possible. We also give an application to blocks with abelian defect groups.

Keywords

Cite

@article{arxiv.1702.05242,
  title  = {Regular orbits of coprime linear groups in large characteristic},
  author = {Benjamin Sambale},
  journal= {arXiv preprint arXiv:1702.05242},
  year   = {2017}
}

Comments

5 pages

R2 v1 2026-06-22T18:20:57.106Z