English

On the intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type

Group Theory 2013-03-06 v1

Abstract

Assume that a finite almost simple group with simple socle isomorphic to an exceptional group of Lie type possesses a solvable Hall subgroup. Then there exist four conjugates of the subgroup such that their intersection is trivial.

Keywords

Cite

@article{arxiv.1303.0936,
  title  = {On the intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type},
  author = {Evgeny P. Vdovin},
  journal= {arXiv preprint arXiv:1303.0936},
  year   = {2013}
}