On intersection of primary subgroups of odd order in finite almost simple groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 6, pp. 115-123
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We consider the question of the determination of subgroups $A$ and $B$ such that $A\cap B^g\ne1$ for any $g\in G$ 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 $(A,B)$.
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