Add to ORKGIn this paper we survey, also in historical perspective, the results connected with the notion of the commutativity degree of a finite group, i.e., the probability that two randomly selected elements of the group commute
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 is an invariant used to measure the probability that two arbitraril...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
A group G is metabelian if and only if there exists an abelian normal subgroup, A such that the fact...
In any group G, if and only if there exists an abelian normal subgroup A such that the factor group,...
The commutativity degree of a finite group is the probability that two randomly chosen group element...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
The degree of commutativity of a group G measures the probability of choosing two elements in G whic...
Abstract. Let G be a finite group and let C = {(x, y) ∈ G×G | xy = yx}. Then Pr(G) = |C|/|G|2 is t...
Abstract. Let 퐺 be a finite group and let 풞 = {(푥, 푦) ∈ 퐺 × 퐺 ∣ 푥 푦 = 푦푥}. Then Pr(퐺) = ∣풞∣/...
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of...
For G a finite non-Abelian group we write c(G) for the probability that two randomly chosen elements...
AbstractIn this paper we study the probability that the commutator of two randomly chosen elements i...
The determination of the abelianness of a finite group has been introduced for symmetric groups, fin...
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 is an invariant used to measure the probability that two arbitraril...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
A group G is metabelian if and only if there exists an abelian normal subgroup, A such that the fact...
In any group G, if and only if there exists an abelian normal subgroup A such that the factor group,...
The commutativity degree of a finite group is the probability that two randomly chosen group element...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
The degree of commutativity of a group G measures the probability of choosing two elements in G whic...
Abstract. Let G be a finite group and let C = {(x, y) ∈ G×G | xy = yx}. Then Pr(G) = |C|/|G|2 is t...
Abstract. Let 퐺 be a finite group and let 풞 = {(푥, 푦) ∈ 퐺 × 퐺 ∣ 푥 푦 = 푦푥}. Then Pr(퐺) = ∣풞∣/...
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of...
For G a finite non-Abelian group we write c(G) for the probability that two randomly chosen elements...
AbstractIn this paper we study the probability that the commutator of two randomly chosen elements i...
The determination of the abelianness of a finite group has been introduced for symmetric groups, fin...
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 is an invariant used to measure the probability that two arbitraril...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...