On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups

Abstract

We consider the question of the determination of subgroups A and B such that A∩Bg ≠ 1 for any g ∈ G for a finite almost simple group G and its primary subgroups A and B of odd order. We prove that there exist only four possibilities for the ordered pair (A,B). © 2017, Springer Science+Business Media New York.