Finite groups whose character degree graphs coincide with their prime graphs

Erkoc T., Yilmazturk U., Güloğlu İ. Ş.

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.68, no.3, pp.647-656, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 68 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.21136/cmj.2018.0553-16
  • Journal Name: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.647-656
  • Istanbul University Affiliated: Yes

Abstract

In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by Delta G), and the prime graph I"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.