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Azizolah Azad

Azizolah Azad

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-7950-0977
Education: PhD.
ScopusId: 14420904600
Faculty: Science
Address: Arak University
Phone:

Research

Title
Commutativity Degree of Certain Finite AC-Groups
Type
JournalPaper
Keywords
AC-group, commutativity degree, minimal non-abelian group
Year
2021
Journal Mathematics Interdisciplinary Research
DOI
Researchers Azizolah Azad ، Sakineh Rahbariyan

Abstract

For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P (G). As a matter of fact, if C = {(a, b) ∈ G×G | ab = ba}, 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