Commuting graph of \(A\)-orbits

Let \(A\) be a finite group acting by automorphisms on the finite group \(G\). We introduce the commuting graph \(\Gamma (G,A)\) of this action and study some questions related to the structure of \(G\) under certain graph theoretical conditions on \(\Gamma (G,A)\).

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Bibliographic Details
Published in:arXiv.org 2019-08
Main Authors: İsmail \c{S}. Güloğlu, ülin Ercan
Format: Article
Language:English
Subjects:
Automorphisms
Online Access:Get full text
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Summary:Let \(A\) be a finite group acting by automorphisms on the finite group \(G\). We introduce the commuting graph \(\Gamma (G,A)\) of this action and study some questions related to the structure of \(G\) under certain graph theoretical conditions on \(\Gamma (G,A)\).
ISSN:2331-8422