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   commutativity degree of certain finite ac-groups  
   
نویسنده azad azizollah ,rahbariyan sakineh
منبع mathematics interdisciplinary research - 2021 - دوره : 6 - شماره : 4 - صفحه:309 -317
چکیده    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 acgroups, and also in some special cases of finite minimal nonabelian groups. moreover, the study will present implications for certain qualified finite groups.
کلیدواژه ac-group ,commutativity degree ,minimal non-abelian group
آدرس arak university, faculty of sciences, department of mathematics, iran, arak university, faculty of sciences, department of mathematics, iran
پست الکترونیکی s-rahbariyan@araku.ac.ir
 
     
   
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