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.
Conjugacy classes, irreducible characters, products
DARAFSHEH, MOHAMMAD REZA and ROBATI, SAJJAD MAHMOOD
"Products of conjugacy classes and products of irreducible characters in finite groups,"
Turkish Journal of Mathematics: Vol. 37:
4, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss4/8