On the average degree of characters with odd or even degrees

Aziziheris K., Görentaş N., Sulaiman Z. N.

Journal of Pure and Applied Algebra, vol.229, no.11, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 229 Issue: 11
  • Publication Date: 2025
  • Doi Number: 10.1016/j.jpaa.2025.108098
  • Journal Name: Journal of Pure and Applied Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Keywords: Average degree, Character degree, Finite group, Solvable group
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Let acd2′(G) be the average degree of irreducible characters of G with odd degree. It has been proved that if acd2′(G)