Commuting graph of A-orbits

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Gilloglu I. S., Ercan G.

JOURNAL OF GROUP THEORY, vol.24, no.3, pp.573-586, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1515/jgth-2019-0166
  • Journal Name: JOURNAL OF GROUP THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.573-586
  • Middle East Technical University Affiliated: Yes

Abstract

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).