COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS

Document Type : Original Manuscript

Authors

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran

Abstract

Suppose

G

is a finite group,

A

and

B

are conjugacy classes of

G

and

e t a (A B)

denotes the number of conjugacy classes contained in

A B

. The set of all

e t a (A B)

such that

A, B

run over conjugacy classes of

G

is denoted by

e t a (G)

.
The aim of this paper is to compute

e t a (G)

G i n D_{2 n}, T_{4 n}, U_{6 n}, V_{8 n}, S D_{8 n}

G

is a decomposable group of order

2 p q

, a group of order

4 p

p^{3}

, where

p

and

q

are primes.

Keywords