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, 2005, Volume 46, Number 3, Pages 533–537 (Mi smj985)  
This article is cited in 6 scientific papers (total in 6 papers)

On orbits of automorphism groups

M. Deaconescua, G. L. Wallsb

a Kuwait University
b West Texas A&M University
Full-text PDF (172 kB) Citations (6)
References:
PDF
HTML
Abstract: If $G$ is a finite group and if $A$ is a group of automorphisms of $G$ whose fixed point subgroup is $C_G(A)$ then every subgroup $F$ of $C_G(A)$ acts on the set of orbits of $A$ in $G$. The peculiarities of this action are used here to derive several results on the number of orbits of $A$ in an economical manner.
Keywords: finite groups, automorphism orbits, group actions, stabilizers.
Received: 24.06.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 413–416
DOI: https://doi.org/10.1007/s11202-005-0044-8
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: M. Deaconescu, G. L. Walls, “On orbits of automorphism groups”, Sibirsk. Mat. Zh., 46:3 (2005), 533–537; Siberian Math. J., 46:3 (2005), 413–416
Citation in format AMSBIB
\Bibitem{DeaWal05}
\by M.~Deaconescu, G.~L.~Walls
\paper On orbits of automorphism groups
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 3
\pages 533--537
\mathnet{http://mi.mathnet.ru/smj985}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2164558}
\zmath{https://zbmath.org/?q=an:1096.20025}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 413--416
\crossref{https://doi.org/10.1007/s11202-005-0044-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229958200005}
Linking options:
  • https://www.mathnet.ru/eng/smj985
  • https://www.mathnet.ru/eng/smj/v46/i3/p533
    • This publication is cited in the following 6 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:487
    Full-text PDF :105
    References:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024