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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 2, Pages 645–653
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.044 (Mi semr1707) 		 
Mathematical logic, algebra and number theory

Groups with symmetric non-commuting graphs

A. Abdollahi

Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran
Full-text PDF (367 kB)
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.044
Abstract: In this paper we characterize non-abelian finite $2$-generator groups $G$ whose non-commuting graphs are $\mathrm{Aut}(G)$-symmetric. We also find some general results on these groups. These partially answer Problem 31 posed in Peter Cameron's home page, old problems.
Keywords: non-commuting graph, automorphism group, symmetric graphs.
Received June 24, 2021, published September 28, 2024
Document Type: Article
UDC: 512.54,519.17
MSC: 20D60, 05C25
Language: English
Citation: A. Abdollahi, “Groups with symmetric non-commuting graphs”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 645–653
Citation in format AMSBIB
\Bibitem{Abd24}
\by A.~Abdollahi
\paper Groups with symmetric non-commuting graphs
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 2
\pages 645--653
\mathnet{http://mi.mathnet.ru/semr1707}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.044}
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