Intersections of two nilpotent subgroups in finite groups with socle L2(q)
- Authors: Zenkov V.I.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Federal University
- Issue: Vol 57, No 6 (2016)
- Pages: 1002-1010
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170837
- DOI: https://doi.org/10.1134/S0037446616060070
- ID: 170837
Cite item
Abstract
Given a finite group G with socle isomorphic to L2(q), q ≥ 4, we describe, up to conjugacy, all pairs of nilpotent subgroups A and B of G such that A ∩ Bg ≠ 1 for all g ∈ G.
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, Ekaterinburg
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