On products of irreducible characters
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Let G be a finite group and let ? be a character of G. It’s well known that the product of ?? is also a character of G, where ? is the complex conjugate character of ?. Thus, ?? may be expressed as an integer linear combination of some irreducible characters of G. There are some research articles on products of irreducible characters to classify finite solvable groups. For example, Adan-Bante has completely classify solvable groups which have a faithful irreducible character ? such that ?? has a unique non-principal irreducible constituent [1]. In this talk, we give some results about the relationship between the structure of a finite solvable group G and the kernels of irreducible constituents of the character ?? where ? is a nonlinear irreducible character of G.
Açıklama
Anahtar Kelimeler
Products of characters, Derived length, Character degrees
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Erkoç, T. ve Çınarcı, B. (2019). On products of irreducible characters. International Conference of Mathematical Sciences (ICMS 2019). s. 211.
