Products of conjugacy classes and products of irreducible characters in finite groups

Authors: MOHAMMAD REZA DARAFSHEH, SAJJAD MAHMOOD ROBATI

Abstract: Let G be a finite group. If A and B are two conjugacy classes in G, then AB is a union of conjugacy classes in G and \eta(AB) denotes the number of distinct conjugacy classes of G contained in AB. If \chi and \psi are two complex irreducible characters of G, then \chi\psi is a character of G and again we let \eta(\chi\psi) be the number of irreducible characters of G appearing as constituents of \chi\psi. In this paper our aim is to study the product of conjugacy classes in a finite group and obtain an upper bound for \eta in general. Then we study similar results related to the product of two irreducible characters.

Keywords: Conjugacy classes, irreducible characters, products

Full Text: PDF