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Intersections of two nilpotent subgroups in finite groups with socle L 2(q)

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Abstract

Given a finite group G with socle isomorphic to L 2(q), q ≥ 4, we describe, up to conjugacy, all pairs of nilpotent subgroups A and B of G such that A ∩ B g ≠ 1 for all g ∈ G.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ekaterinburg, Russia

    V. I. Zenkov

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  1. V. I. Zenkov
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Correspondence to V. I. Zenkov.

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Original Russian Text Copyright © 2016 Zenkov V.I.

The author was supported by the Russian Science Foundation (Grant 15–11–10025) (Theorem 1) and the Russian Academic Excellence Project (Agreement 02.A03.210006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and Ural Federal University) (Theorem 2).

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Zenkov, V.I. Intersections of two nilpotent subgroups in finite groups with socle L 2(q). Sib Math J 57, 1002–1010 (2016). https://doi.org/10.1134/S0037446616060070

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  • DOI: https://doi.org/10.1134/S0037446616060070

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