Real characters, monolithic characters and the Taketa inequality
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.18, sa.10, 2019 (SCI-Expanded)
- 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.