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

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We consider the question of the determination of subgroups A and B such that AB g ≠ 1 for any gG 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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  1. 1.

    N. Bourbaki, Groupes et algébres de Lie, Chap. 4, Hermann (1968).

  2. 2.

    R. W. Carter, Simple Groups of Lie Type, Wiley (1972).

  3. 3.

    V. D. Mazurov and V. I. Zenkov, “On intersections of Sylow subgroups in finite groups,” Algebra Logika, 35, No. 4, 424–432 (1996).

  4. 4.

    V. I. Zenkov, “Intersections of Abelian subgroups in finite groups,” Mat. Zametki, 56, No. 2, 150–152 (1994).

    MathSciNet  MATH  Google Scholar 

  5. 5.

    V. I. Zenkov, “Intersection of nilpotent subgroups in finite groups,” Fundam. Prikl. Mat., 2, No. 1, 1–92 (1996).

    MathSciNet  MATH  Google Scholar 

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Correspondence to V. I. Zenkov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 19, No. 6, pp. 115–123, 2014.

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Zenkov, V.I., Nuzhin, Y.N. On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups. J Math Sci 221, 384–390 (2017).

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