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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)
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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
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\by M.~Deaconescu, G.~L.~Walls
\paper On orbits of automorphism groups
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\yr 2005
\vol 46
\issue 3
\pages 533--537
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\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}
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    • 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
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