Email this article On Intersection of Primary Subgroups of Odd Order in Finite Almost Simple Groups
- Authors: Zenkov V.I.1,2, Nuzhin Y.N.3
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Affiliations:
- First President of Russia B. N. Yeltsin Ural Federal University
- Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
- Siberian Federal University
- Issue: Vol 221, No 3 (2017)
- Pages: 384-390
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238988
- DOI: https://doi.org/10.1007/s10958-017-3232-8
- ID: 238988
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Abstract
We consider the question of the determination of subgroups A and B such that A∩Bg ≠ 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).
About the authors
V. I. Zenkov
First President of Russia B. N. Yeltsin Ural Federal University; Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Author for correspondence.
Email: V1I9Z52@mail.ru
Russian Federation, Ekaterinburg; Ekaterinburg
Ya. N. Nuzhin
Siberian Federal University
Email: V1I9Z52@mail.ru
Russian Federation, Krasnoyarsk
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