Real characters, monolithic characters and the Taketa inequality

Cinarci B., Erkoc T.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.18, sa.10, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 10
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s0219498819501834
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Anahtar Kelimeler: Taketa inequality, derived length and character degrees, real-valued characters, monolithic characters
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.