ON THE COMMUTATIVITY DEGREE OF
CERTAIN FINITE GROUPS
Bilal N. Al-Hasanat1, Ahmad M. Awajan2
1,2Department of Mathematics
Al Hussein Bin Talal University
Ma'an, JORDAN

Abstract

The commutativity degree $P(G)$ of a finite group $G$, is the probability that two arbitrary elements in $G$ commute. The commutativity degree of a group $G$ can be used to measure how close a group is to be commutative. In this article, the commutativity degree of some finite groups is configured. Furthermore, upper and lower bounds of the commutativity degree of $p$-groups have been computed.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 6
Year: 2022

DOI: 10.12732/ijam.v35i6.2

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