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, 2015, Volume 56, Number 1, Pages 149–157 (Mi smj2628)  
This article is cited in 3 scientific papers (total in 3 papers)

On characterization by order and prime graph for alternating groups

A. Mahmoudifara, B. Khosraviab

a Department of Pure Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
b School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
Full-text PDF (312 kB) Citations (3)
References:
PDF
HTML
Abstract: There are some graphs related to the structure of a finite group, e.g. the prime graph, the solvable graph, and the noncommuting graph of a finite group. In this paper, we consider characterization by order and prime graph for alternating groups. In particular, we show that there exists a closed relation between characterization by order and prime graph of some of the alternating groups and Goldbach's conjecture. Also by using the main results, we answer some conjectures and a problem about characterization by order and degree pattern for alternating and symmetric groups that are stated in [R. Kogani-Moghaddam and A. R. Moghaddamfar, Groups with the same order and degree pattern, Sci. China Math., 2012].
Keywords: alternating group, symmetric group, solvable graph, prime graph, degree pattern, Goldbach's conjecture.
Received: 01.06.2013
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 1, Pages 125–131
DOI: https://doi.org/10.1134/S0037446615010127
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: A. Mahmoudifar, B. Khosravi, “On characterization by order and prime graph for alternating groups”, Sibirsk. Mat. Zh., 56:1 (2015), 149–157; Siberian Math. J., 56:1 (2015), 125–131
Citation in format AMSBIB
\Bibitem{MahKho15}
\by A.~Mahmoudifar, B.~Khosravi
\paper On characterization by order and prime graph for alternating groups
\jour Sibirsk. Mat. Zh.
\yr 2015
\vol 56
\issue 1
\pages 149--157
\mathnet{http://mi.mathnet.ru/smj2628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3407946}
\elib{https://elibrary.ru/item.asp?id=23112829}
\transl
\jour Siberian Math. J.
\yr 2015
\vol 56
\issue 1
\pages 125--131
\crossref{https://doi.org/10.1134/S0037446615010127}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350510300012}
\elib{https://elibrary.ru/item.asp?id=24558263}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928801734}
Linking options:
  • https://www.mathnet.ru/eng/smj2628
  • https://www.mathnet.ru/eng/smj/v56/i1/p149
    • 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:262
    Full-text PDF :59
    References:52
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024