Finite groups whose character degree graphs coincide with their prime graphs

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

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.68, sa.3, ss.647-656, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.21136/cmj.2018.0553-16
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.647-656
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.