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a generalization of the n^th- commutativity degree in finite groups
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نویسنده
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pirzadeh m. ,hashemi m.
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منبع
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computational sciences and engineering - 2022 - دوره : 2 - شماره : 1 - صفحه:33 -40
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چکیده
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In this paper, we study the number of solutions of commutator equation [x^{n},y]=gin two classes of finite groups. for g∈g we consider p^{n}_g={(x,y)| x,∈g, [x^{n},y] . then the probability that the commutator equation [x^{n},y] has a solution in a finite group g, written , p^{n}_g is equal to p^{n}_g|g|^2} . by using the numerical solutions of the equation xy - zu equiv t(bmod~n) we derive formulas for calculating the probability of p^{n}_g, for some finite groups g .
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کلیدواژه
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finite groups ,nilpotent groups ,commutativity degree ,gap
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آدرس
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university ofguilan, faculty of mathematical sciences, department of pure mathematics, iran, university ofguilan, faculty of mathematical sciences, department of pure mathematics, iran
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پست الکترونیکی
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m.pirzadeh.math@gmail.com
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Authors
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