TY - JOUR
ID - 490
TI - COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Jalali, M.
AU - Ashrafi, A. R.
AD - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
Y1 - 2015
PY - 2015
VL - 3
IS - 1
SP - 88
EP - 95
KW - Conjugacy class
KW - normal subset
KW - $p-$group
DO - 10.22044/jas.2015.490
N2 - Suppose $G$ 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 $eta(G)$.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.
UR - https://jas.shahroodut.ac.ir/article_490.html
L1 - https://jas.shahroodut.ac.ir/article_490_ad72cc6d7ccfdda1a417ad5e72b51945.pdf
ER -