Shahrood University of TechnologyJournal of Algebraic Systems2345-51283120150601COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS889549010.22044/jas.2015.490ENM. JalaliDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. IranA. R. AshrafiDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. IranJournal Article20141130Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.<br />The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of order $4p$ or $p^3$, where $p$ and $q$ are primes.https://jas.shahroodut.ac.ir/article_490_ad72cc6d7ccfdda1a417ad5e72b51945.pdf