Intersection of Conjugate Solvable Subgroups in Symmetric Groups

A. A. Baikalov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

It is proved that for any solvable subgroup G of an almost simple group S with simple socle isomorphic to An, n ≥ 5, there are elements x, y, z, t ∈ S such that G ∩ Gx ∩ Gy ∩ Gz ∩ Gt = 1.

Original languageEnglish
Pages (from-to)87-97
Number of pages11
JournalAlgebra and Logic
Volume56
Issue number2
DOIs
Publication statusPublished - 1 May 2017

Keywords

  • almost simple group
  • solvable group
  • symmetric group
  • BASE SIZES

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