Geodesic
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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V. I. Zenkov; Ya. N. Nuzhin. 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. http://geodesic.mathdoc.fr/item/FPM_2014_19_6_a4/

[1] Burbaki N., Gruppy i algebry Li, VII–VIII, Mir, M., 1978 | MR

[2] Zenkov V. I., “Peresecheniya abelevykh podgrupp v konechnykh gruppakh”, Matem. zametki, 56:2 (1994), 150–152 | MR | Zbl

[3] Zenkov V. I., “Peresechenie nilpotentnykh podgrupp v konechnykh gruppakh”, Fundament. i prikl. matem., 2:1 (1996), 1–92 | MR | Zbl

[4] Mazurov V. D., Zenkov V. I., “O peresechenii silovskikh podgrupp v konechnykh gruppakh”, Algebra i logika, 35:4 (1996), 424–432 | MR | Zbl

[5] Carter R.W., Finite Groups of Lie Type, Wiley, London, 1985 | MR | Zbl