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

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