On products of irreducible characters
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CitationErkoç, T. ve Çınarcı, B. (2019). On products of irreducible characters. International Conference of Mathematical Sciences (ICMS 2019). s. 211.
Let G be a finite group and let χ be a character of G. It’s well known that the product of χχ is also a character of G, where χ is the complex conjugate character of χ. Thus, χχ 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 χ such that χχ has a unique non-principal irreducible constituent . 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 χχ where χ is a nonlinear irreducible character of G.
SourceInternational Conference of Mathematical Sciences (ICMS 2019)
- Makale Koleksiyonu 
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