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

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Abstract

We consider the question of the determination of subgroups A and B such that A∩B g ≠ 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).

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References

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

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

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

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

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Authors and Affiliations

  1. First President of Russia B. N. Yeltsin Ural Federal University, Ekaterinburg, Russia

    V. I. Zenkov

  2. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia

    V. I. Zenkov

  3. Siberian Federal University, Krasnoyarsk, Russia

    Ya. N. Nuzhin

Authors
  1. V. I. Zenkov
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  2. Ya. N. Nuzhin
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Correspondence to V. I. Zenkov.

Additional information

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). https://doi.org/10.1007/s10958-017-3232-8

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  • DOI: https://doi.org/10.1007/s10958-017-3232-8

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