Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 634–640
DOI: https://doi.org/10.33048/smzh.2020.61.311
(Mi smj6006)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the periodic groups saturated with finite simple groups of lie type $b_3$

D. V. Lytkinaab, V. D. Mazurovc

a Siberian State University of Telecommunications and Informatics, Novosibirsk
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (458 kB) Citations (2)
References:
Abstract: Let ${\goth M}$ be a set of finite groups. Given a group $G$, denote by ${\goth M}(G)$ the set of all subgroups of $G$ isomorphic to the elements of ${\goth M}$. A group $G$ is said to be saturated with groups from ${\goth M}$ (saturated with ${\goth M}$, for brevity) if each finite subgroup of $G$ lies in an element of ${\goth M}(G)$. We prove that a periodic group $G$ saturated with ${\goth M}=\{O_7(q)\mid q\equiv\pm3(\operatorname{mod} 8)\}$ is isomorphic to $O_7(F)$ for some locally finite field $F$ of odd characteristic.
Keywords: periodic group, group of Lie type, orthogonal group, group saturated with a set of groups.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
Russian Science Foundation 19-11-00039
The work of D. V. Lytkina was supported by the Mathematical Center in Akademgorodok under Agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation; the work of V. D. Mazurov was supported by the Russian Science Foundation (Project 19-11-00039).
Received: 17.01.2020
Revised: 17.01.2020
Accepted: 19.02.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 499–503
DOI: https://doi.org/10.1134/S0037446620030118
Bibliographic databases:
Document Type: Article
UDC: 512.44
MSC: 35R30
Language: Russian
Citation: D. V. Lytkina, V. D. Mazurov, “On the periodic groups saturated with finite simple groups of lie type $b_3$”, Sibirsk. Mat. Zh., 61:3 (2020), 634–640; Siberian Math. J., 61:3 (2020), 499–503
Citation in format AMSBIB
\Bibitem{LytMaz20}
\by D.~V.~Lytkina, V.~D.~Mazurov
\paper On the periodic groups saturated with finite simple groups of lie type~$b_3$
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 3
\pages 634--640
\mathnet{http://mi.mathnet.ru/smj6006}
\crossref{https://doi.org/10.33048/smzh.2020.61.311}
\elib{https://elibrary.ru/item.asp?id=43301210}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 3
\pages 499--503
\crossref{https://doi.org/10.1134/S0037446620030118}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000540148300011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85086366929}
Linking options:
  • https://www.mathnet.ru/eng/smj6006
  • https://www.mathnet.ru/eng/smj/v61/i3/p634
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:284
    Full-text PDF :81
    References:45
    First page:6
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024