Intersection of Solvable Hall subgroups in finite groups
Group Theory
2021-01-13 v1
Abstract
In this paper we show that if S is a simple classical group, a group G is contained in inner-diagonal automorphisms of S and contains S, and H is a solvable Hall subgroup of G, then there exists five conjugates of H, whose intersection is trivial.
Cite
@article{arxiv.2101.04542,
title = {Intersection of Solvable Hall subgroups in finite groups},
author = {Anton A. Baykalov and Evgeny P. Vdovin and Victor I. Zenkov},
journal= {arXiv preprint arXiv:2101.04542},
year = {2021}
}