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, 2021, Volume 62, Number 1, Pages 117–130
DOI: https://doi.org/10.33048/smzh.2021.62.110 (Mi smj7542) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Recognizing $A_7$ by its set of element orders

A. S. Mamontova, E. Jabarab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Dipartimento di Filosofia e Beni Culturali, Universita di Ca'Foscari, Venezia, Italy
Full-text PDF (532 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2021.62.110
Abstract: Let $G$ be a periodic group, and let $\omega(G) \subseteq {\Bbb N}$ be the spectrum of $G$ that is the set of orders of elements in $G$. We prove that the alternating group $A_{7}$ is uniquely recognized by its spectrum in the class of all groups.
Keywords: periodic group, locally finite group, spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20011
The first author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011).
Received: 22.07.2020
Revised: 28.08.2020
Accepted: 09.10.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 93–104
DOI: https://doi.org/10.1134/S0037446621010109
Bibliographic databases:
Document Type: Article
UDC: 517.518.85
MSC: 35R30
Language: Russian
Citation: A. S. Mamontov, E. Jabara, “Recognizing $A_7$ by its set of element orders”, Sibirsk. Mat. Zh., 62:1 (2021), 117–130; Siberian Math. J., 62:1 (2021), 93–104
Citation in format AMSBIB
\Bibitem{MamJab21}
\by A.~S.~Mamontov, E.~Jabara
\paper Recognizing~$A_7$ by its set of element orders
\jour Sibirsk. Mat. Zh.
\yr 2021
\vol 62
\issue 1
\pages 117--130
\mathnet{http://mi.mathnet.ru/smj7542}
\crossref{https://doi.org/10.33048/smzh.2021.62.110}
\elib{https://elibrary.ru/item.asp?id=44983282}
\transl
\jour Siberian Math. J.
\yr 2021
\vol 62
\issue 1
\pages 93--104
\crossref{https://doi.org/10.1134/S0037446621010109}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000613460200010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85099939543}
Linking options:
  • https://www.mathnet.ru/eng/smj7542
  • https://www.mathnet.ru/eng/smj/v62/i1/p117
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025