Email this article On intersections of primary subgroups in the group Aut(Ln(2))
- Authors: Zenkov V.I.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 293, No Suppl 1 (2016)
- Pages: 270-277
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173658
- DOI: https://doi.org/10.1134/S0081543816050230
- ID: 173658
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Abstract
It is proved that, in a finite group G whose socle is isomorphic to Ln(2), there exist primary subgroups A and B such that the intersection of A and any subgroup conjugate to B under the action of G is nontrivial only if G is isomorphic to the group Aut(Ln(2)); in this case, A and B are 2-subgroups. All ordered pairs (A,B) of such subgroups are described.
About the authors
V. I. Zenkov
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: zenkov@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 32, Yekaterinburg, 620002
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