Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1112-34
Keywords
Conjugacy classes, irreducible characters, products
First Page
607
Last Page
616
Recommended Citation
DARAFSHEH, M. R, & ROBATI, S. M (2013). Products of conjugacy classes and products of irreducible characters in finite groups. Turkish Journal of Mathematics 37 (4): 607-616. https://doi.org/10.3906/mat-1112-34
