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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 337–344
DOI: https://doi.org/10.17377/smzh.2018.59.208 (Mi smj2975) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Intersections of primary subgroups in nonsoluble finite groups isomorphic to $L_n(2^m)$

V. I. Zenkovab

a Krasovskii Institute of Mathematics and Mechanics, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Full-text PDF (291 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2018.59.208
Abstract: Given a finite group $G$ with socle isomorphic to $L_n(2^m)$, we describe (up to conjugacy) all ordered pairs of primary subgroups $A$ and $B$ in $G$ such that $A\cap B^g\ne1$ for all $g\in G$.
Keywords: finite group, nilpotent subgroup, intersection of subgroups.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.А03.210006
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-16-1-5
The author was supported by the Russian Academic Excellence Project (Agr. 02.A03.210006 of 27.08.2013) (Theorem 1) and the Complex Program “Modern Problems in Algebra and Combinatorics” (Project 15-16-1-5) (Theorem 2).
Received: 06.06.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 264–269
DOI: https://doi.org/10.1134/S0037446618020088
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: V. I. Zenkov, “Intersections of primary subgroups in nonsoluble finite groups isomorphic to $L_n(2^m)$”, Sibirsk. Mat. Zh., 59:2 (2018), 337–344; Siberian Math. J., 59:2 (2018), 264–269
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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