Add to ORKGWe show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class $\leq 2$. These two sets are equal when restricted to groups and rings with odd number of elements
Strong restrictions on the structure of a group $G$ can be given, once that it is known the probabil...
In a recent article [2] in this Journal, Givens defined a finite semigroup’s commuting probability a...
In this paper, G is a metacyclic 2-group of positive type of nilpotency of class at least three. Let...
We show that the set of all commuting probabilities in finite rings is a subset of the set of all co...
For Bernd Fischer on the occasion of his 70th birthday Introduction: When G is a finite group, we ma...
In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tup...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
Let G be a \u85nite group and be a permutation from Sn. We investigate the distribution of the prob...
Abstract. Let G be a finite group and let C = {(x, y) ∈ G×G | xy = yx}. Then Pr(G) = |C|/|G|2 is t...
Let be a subgroup of a finite group. The probability that an element of commutes with an element of ...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
We describe some recent contributions on the probability of commuting pairs, introduced by P. Erdos,...
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of...
Abstract. Let 퐺 be a finite group and let 풞 = {(푥, 푦) ∈ 퐺 × 퐺 ∣ 푥 푦 = 푦푥}. Then Pr(퐺) = ∣풞∣/...
AbstractIn this paper we study the probability that the commutator of two randomly chosen elements i...
Strong restrictions on the structure of a group $G$ can be given, once that it is known the probabil...
In a recent article [2] in this Journal, Givens defined a finite semigroup’s commuting probability a...
In this paper, G is a metacyclic 2-group of positive type of nilpotency of class at least three. Let...
We show that the set of all commuting probabilities in finite rings is a subset of the set of all co...
For Bernd Fischer on the occasion of his 70th birthday Introduction: When G is a finite group, we ma...
In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tup...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
Let G be a \u85nite group and be a permutation from Sn. We investigate the distribution of the prob...
Abstract. Let G be a finite group and let C = {(x, y) ∈ G×G | xy = yx}. Then Pr(G) = |C|/|G|2 is t...
Let be a subgroup of a finite group. The probability that an element of commutes with an element of ...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
We describe some recent contributions on the probability of commuting pairs, introduced by P. Erdos,...
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of...
Abstract. Let 퐺 be a finite group and let 풞 = {(푥, 푦) ∈ 퐺 × 퐺 ∣ 푥 푦 = 푦푥}. Then Pr(퐺) = ∣풞∣/...
AbstractIn this paper we study the probability that the commutator of two randomly chosen elements i...
Strong restrictions on the structure of a group $G$ can be given, once that it is known the probabil...
In a recent article [2] in this Journal, Givens defined a finite semigroup’s commuting probability a...
In this paper, G is a metacyclic 2-group of positive type of nilpotency of class at least three. Let...