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finite groupBand
dihedralBand
The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this paper, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 2, called the squared commutativity degree
The commutativity degree, defined as the probability that two randomly selected elements of a group ...
The determination of the abelianness of a finite group has been introduced for symmetric groups, fin...
The degree of commutativity of a group G measures the probability of choosing two elements in G whic...
Let G be a finite group. The commutativity degree of a group is the probability that a random pair o...
The commutativity degree of a finite group G is the probability that two randomly chosen elements of...
Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as...
The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups,...
Let G be a finite dihedral group Dn. The probability that two random elements commute is called the ...
In this research, two-generator p-groups of nilpotency class two, which is referred to as G are cons...
Let G be a finite group and n a positive integer. The n-th commutativity degree P-n(G) of G is the p...
The commutativity degree of a group is the probability that two randomly chosen elements of G commut...
Studying the properties of groups based on some probabilistic methods is an appealing branch of rese...
The commutativity degree of a finite group is the probability that two randomly chosen group element...
Abstract. Let 퐺 be a finite group and let 풞 = {(푥, 푦) ∈ 퐺 × 퐺 ∣ 푥 푦 = 푦푥}. Then Pr(퐺) = ∣풞∣/...
Abstract. Let G be a finite group and let C = {(x, y) ∈ G×G | xy = yx}. Then Pr(G) = |C|/|G|2 is t...
The commutativity degree, defined as the probability that two randomly selected elements of a group ...
The determination of the abelianness of a finite group has been introduced for symmetric groups, fin...
The degree of commutativity of a group G measures the probability of choosing two elements in G whic...
Let G be a finite group. The commutativity degree of a group is the probability that a random pair o...
The commutativity degree of a finite group G is the probability that two randomly chosen elements of...
Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as...
The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups,...
Let G be a finite dihedral group Dn. The probability that two random elements commute is called the ...
In this research, two-generator p-groups of nilpotency class two, which is referred to as G are cons...
Let G be a finite group and n a positive integer. The n-th commutativity degree P-n(G) of G is the p...
The commutativity degree of a group is the probability that two randomly chosen elements of G commut...
Studying the properties of groups based on some probabilistic methods is an appealing branch of rese...
The commutativity degree of a finite group is the probability that two randomly chosen group element...
Abstract. Let 퐺 be a finite group and let 풞 = {(푥, 푦) ∈ 퐺 × 퐺 ∣ 푥 푦 = 푦푥}. Then Pr(퐺) = ∣풞∣/...
Abstract. Let G be a finite group and let C = {(x, y) ∈ G×G | xy = yx}. Then Pr(G) = |C|/|G|2 is t...
The commutativity degree, defined as the probability that two randomly selected elements of a group ...
The determination of the abelianness of a finite group has been introduced for symmetric groups, fin...
The degree of commutativity of a group G measures the probability of choosing two elements in G whic...
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