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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 6, Pages 1280–1290
DOI: https://doi.org/10.17377/smzh.2016.57.607 (Mi smj2823) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Intersections of two nilpotent subgroups in finite groups with socle $L_2(q)$

V. I. Zenkovab

a Krasovskii Institute of Mathematics and Mechanics, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Full-text PDF (333 kB) Citations (10)
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DOI: https://doi.org/10.17377/smzh.2016.57.607
Abstract: Given a finite group $G$ with socle isomorphic to $L_2(q)$, $q\ge4$, we describe, up to conjugacy, all pairs of nilpotent subgroups $A$ and $B$ of $G$ such that $A\cap B^g\ne1$ for all $g\in G$.
Keywords: finite group, nilpotent subgroup, intersection of subgroups.
Funding agency Grant number
Russian Science Foundation 15-11-10025
Ministry of Education and Science of the Russian Federation 02.А03.210006
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).
Received: 14.10.2015
Revised: 07.06.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 1002–1010
DOI: https://doi.org/10.1134/S0037446616060070
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. I. Zenkov, “Intersections of two nilpotent subgroups in finite groups with socle $L_2(q)$”, Sibirsk. Mat. Zh., 57:6 (2016), 1280–1290; Siberian Math. J., 57:6 (2016), 1002–1010
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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