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    On products of irreducible characters
    (Maltepe Üniversitesi, 2019) Erkoc, Temha; Çınarcı, Burcu
    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.