Algebra i logika
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



Algebra Logika:
Year:
Volume:
Issue:
Page:
Find






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


Algebra i logika, 2005, Volume 44, Number 6, Pages 682–725 (Mi al137)  

This article is cited in 175 scientific papers (total in 175 papers)

An Adjacency Criterion for the Prime Graph of a Finite Simple Group

A. V. Vasil'ev, E. P. Vdovin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: For every finite non-Abelian simple group, we give an exhaustive arithmetic criterion for adjacency of vertices in a prime graph of the group. For the prime graph of every finite simple group, this criterion is used to determine an independent set with a maximal number of vertices and an independent set with a maximal number of vertices containing 2, and to define orders on these sets; the information obtained is collected in tables. We consider several applications of these results to various problems in finite group theory, in particular, to the recognition-by-spectra problem for finite groups.
Keywords: finite group, finite simple group, group of Lie type, spectrum of a finite group, recognition by spectrum, prime graph of a finite group, independence number of a prime graph, 2-independence number of a prime graph.
Received: 30.05.2005
English version:
Algebra and Logic, 2005, Volume 44, Issue 6, Pages 381–406
DOI: https://doi.org/10.1007/s10469-005-0037-5
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, E. P. Vdovin, “An Adjacency Criterion for the Prime Graph of a Finite Simple Group”, Algebra Logika, 44:6 (2005), 682–725; Algebra and Logic, 44:6 (2005), 381–406
Citation in format AMSBIB
\Bibitem{VasVdo05}
\by A.~V.~Vasil'ev, E.~P.~Vdovin
\paper An Adjacency Criterion for the Prime Graph of a~Finite Simple Group
\jour Algebra Logika
\yr 2005
\vol 44
\issue 6
\pages 682--725
\mathnet{http://mi.mathnet.ru/al137}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2213302}
\zmath{https://zbmath.org/?q=an:1104.20018}
\elib{https://elibrary.ru/item.asp?id=9082733}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 6
\pages 381--406
\crossref{https://doi.org/10.1007/s10469-005-0037-5}
\elib{https://elibrary.ru/item.asp?id=14640701}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-21244454974}
Linking options:
  • https://www.mathnet.ru/eng/al137
  • https://www.mathnet.ru/eng/al/v44/i6/p682
  • This publication is cited in the following 175 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:1494
    Full-text PDF :445
    References:108
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024