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Sakineh Rahbariyan

Sakineh Rahbariyan

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0001-7193-3850
Education: PhD.
ScopusId: 52364509200
Faculty: Science
Address: Arak University
Phone:

Research

Title
On the Commutativity Degree of Certain Finite Groups
Type
Presentation
Keywords
AC-group, Commutativity degree, Minimal non-abelian group
Year
2023
Researchers Sakineh Rahbariyan ، Azizolah Azad

Abstract

Let G be a finite group. The commutativity degree of G denoted by P(G) is the probability of two group elements that commute. As a matter of fact, if C = {(x, y) ∈ G × G | xy = yx}, then P(G) = |C| |G| 2 . In this paper, we are going to find few formulas for P(G) independent of |C|; for some AC-groups, and also in some special cases of finite minimal non-abelian groups. Moreover, the study will present implications for certain qualified finite groups.