English

Intersection of conjugate solvable subgroups in symmetric groups

Group Theory 2019-06-21 v1

Abstract

It is shown that for a solvable subgroup GG of an almost simple group SS which socle is isomorphic to AnA_n (n5) (n\ge5) there are x,y,z,tSx,y,z,t \in S such that GGxGyGzGt=1.G \cap G^x \cap G^y \cap G^z \cap G^t =1.

Keywords

Cite

@article{arxiv.1701.04231,
  title  = {Intersection of conjugate solvable subgroups in symmetric groups},
  author = {Anton Baykalov},
  journal= {arXiv preprint arXiv:1701.04231},
  year   = {2019}
}
R2 v1 2026-06-22T17:51:00.189Z