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

Authors : Mohammad Reza Darafsheh, Sajjad Mahmood Robati

Pages : 607-616

Doi:10.3906/mat-1112-34

View : 11 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

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 h(AB) denotes the number of distinct conjugacy classes of G contained in AB. If c and y are two complex irreducible characters of G, then cy is a character of G and again we let h(cy) be the number of irreducible characters of G appearing as constituents of cy. In this paper our aim is to study the product of conjugacy classes in a finite group and obtain an upper bound for h in general. Then we study similar results related to the product of two irreducible characters.
Keywords : Conjugacy classes, irreducible characters, products