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on the relative 2-engel degree of a subgroup of a finite group
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نویسنده
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golmakani hanieh ,jafarzadeh abbas
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منبع
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analytical and numerical solutions for nonlinear equations - 2022 - دوره : 7 - شماره : 1 - صفحه:67 -73
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چکیده
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Let g be a finite group. the notion of n-engel degree of g, denoted by dn(g), is the probability of two randomely chosen elements x, y ∈ g satisfy the n-engel condition [y,n x] = 1. the case n = 1 is the known commutativity degree of g. the aim of this paper, is to define and investigate the relative 2-engel degree of a subgroup h of g as the probability of two randomely chosen elements x ∈ g and y ∈ h satisfy the 2-engel condition [y,2 x] = 1.
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کلیدواژه
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commutativity degree ,n-engel degree ,right 2-engel subgroup
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آدرس
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ferdowsi university of mashhad, department of pure mathematics, iran, quchan university of technology, department of mathematics, iran
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پست الکترونیکی
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jafarzadeh.a@qiet.ac.ir; abbas.jafarzadeh@gmail.com
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Authors
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