Finite Groups Whose Character Degree Graphs Coincide With Their Prime Graphs

  • Temha Erkoç
  • Utku Yilmaztürk
  • İsmail Ş. Güloğlu
Article
  • 6 Downloads

Abstract

In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by Δ(G), and the prime graph, Γ(G). In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.

Keywords

finite groups character degree graph prime graph 

MSC 2010

20C15 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  • Temha Erkoç
    • 1
  • Utku Yilmaztürk
    • 1
  • İsmail Ş. Güloğlu
    • 2
  1. 1.Department of Mathematics Faculty of ScienceIstanbul UniversityFatih, IstanbulTurkey
  2. 2.Department of MathematicsDoğuş UniversityAcıbadem, IstanbulTurkey

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