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 1, Pages 137–147
DOI: https://doi.org/10.33048/smzh.2020.61.109 (Mi smj5969) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On periodic groups isospectral to $a_7$

A. S. Mamontov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (481 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2020.61.109
Abstract: Let $A_n$ denote the alternating group of degree $n$. Consider a group $G$ whose spectrum, i.e. the set of element orders, equals the spectrum of $A_7$. Assume that $G$ has a subgroup $H$ isomorphic to $A_4$ whose involutions are squares of elements of order $4$. Then either $O_2(H) \subseteq O_2(G)$ or $G$ has a nonabelian finite simple subgroup.
Keywords: periodic group, locally finite group.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 26.02.2019
Revised: 10.07.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 1, Pages 109–117
DOI: https://doi.org/10.1134/S0037446620010097
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 35R30
Language: Russian
Citation: A. S. Mamontov, “On periodic groups isospectral to $a_7$”, Sibirsk. Mat. Zh., 61:1 (2020), 137–147; Siberian Math. J., 61:1 (2020), 109–117
Citation in format AMSBIB
\Bibitem{Mam20}
\by A.~S.~Mamontov
\paper On periodic groups isospectral to $a_7$
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 1
\pages 137--147
\mathnet{http://mi.mathnet.ru/smj5969}
\crossref{https://doi.org/10.33048/smzh.2020.61.109}
\elib{https://elibrary.ru/item.asp?id=45171330}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 1
\pages 109--117
\crossref{https://doi.org/10.1134/S0037446620010097}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000516567300009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85095482130}
Linking options:
  • https://www.mathnet.ru/eng/smj5969
  • https://www.mathnet.ru/eng/smj/v61/i1/p137
    Cycle of papers
    This publication is cited in the following 3 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:172
    Full-text PDF :46
    References:35
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024