On products of irreducible characters
No Thumbnail Available
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Maltepe Üniversitesi
Access Rights
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Abstract
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.
Description
Keywords
Products of characters, Derived length, Character degrees
Journal or Series
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Value
Scopus Q Value
Volume
Issue
Citation
Erkoç, T. ve Çınarcı, B. (2019). On products of irreducible characters. International Conference of Mathematical Sciences (ICMS 2019). s. 211.
