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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2019, Volume 25, Number 4, Pages 275–282
DOI: https://doi.org/10.21538/0134-4889-2019-25-4-275-282
(Mi timm1693)
 

This article is cited in 5 scientific papers (total in 5 papers)

On Sylow 2-subgroups of Shunkov groups saturated with the groups $L_3(2^m)$

A. A. Shlepkin

Institute of Space and Information Technologies, Siberian Federal University
Full-text PDF (189 kB) Citations (5)
References:
Abstract: A group $G$ is saturated with groups from a set of groups $X$ if any finite subgroup of $G$ is contained in a subgroup of $G$ isomorphic to some group from $X$. If all finite-order elements of a group $G$ are contained in a periodic subgroup of $G$, then this subgroup is called the periodic part of $G$. A group $G$ is called a Shunkov group if, for any finite subgroup $H$ of $G$, any two conjugate elements of prime order in the quotient group $N_G(H)/h$ generate a finite group. A Shunkov group may have no periodic part. We establish the structure of a Sylow 2-subgroup of a Shunkov group saturated with projective special linear groups of degree 3 over finite fields of even characteristic in the case when the Shunkov group has no periodic part.
Keywords: group saturated with a given set of groups, Shunkov group, periodic part of a group.
Funding agency Grant number
Russian Science Foundation 18-71-10007
This work was supported by the Russian Science Foundation (project no. 18-71-10007).
Received: 01.03.2019
Revised: 23.10.2019
Accepted: 04.11.2019
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20K01
Language: Russian
Citation: A. A. Shlepkin, “On Sylow 2-subgroups of Shunkov groups saturated with the groups $L_3(2^m)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 4, 2019, 275–282
Citation in format AMSBIB
\Bibitem{Shl19}
\by A.~A.~Shlepkin
\paper On Sylow 2-subgroups of Shunkov groups saturated with the groups $L_3(2^m)$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2019
\vol 25
\issue 4
\pages 275--282
\mathnet{http://mi.mathnet.ru/timm1693}
\crossref{https://doi.org/10.21538/0134-4889-2019-25-4-275-282}
\elib{https://elibrary.ru/item.asp?id=41455544}
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  • https://www.mathnet.ru/eng/timm/v25/i4/p275
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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