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commutativity degree of certain finite ac-groups
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نویسنده
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azad azizollah ,rahbariyan sakineh
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منبع
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mathematics interdisciplinary research - 2021 - دوره : 6 - شماره : 4 - صفحه:309 -317
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چکیده
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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.
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کلیدواژه
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ac-group ,commutativity degree ,minimal non-abelian group
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آدرس
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arak university, faculty of sciences, department of mathematics, iran, arak university, faculty of sciences, department of mathematics, iran
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پست الکترونیکی
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s-rahbariyan@araku.ac.ir
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Authors
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