Real characters, monolithic characters and the Taketa inequality

Cinarci B., Erkoc T.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.18, no.10, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 10
  • Publication Date: 2019
  • Doi Number: 10.1142/s0219498819501834
  • Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Keywords: Taketa inequality, derived length and character degrees, real-valued characters, monolithic characters
  • Istanbul University Affiliated: Yes

Abstract

In this paper, we prove that the Taketa inequality, namely the derived length of a finite solvable group G is less than or equal to the number of distinct irreducible complex character degrees of C, is true under some conditions related to the real and the monolithic characters of G.