Add to ORKGAbstract. In this paper we study the probability that the commutator of two randomly chosen elements in a finite group is equal to a given element of that group. Explicit computations are obtained for groups G which |G′ | is prime an
Let L be a finite group with a unique minimal normal subgroup, say N. We study the conditional proba...
Let $G$ be a finite group, let $p$ be a prime and let ${\rm Pr}_p(G)$ be the probability that two ra...
Abstract. Let G be a finite group of even order. We give some bounds for the probability p(G) that a...
AbstractIn this paper we study the probability that the commutator of two randomly chosen elements i...
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...
For Bernd Fischer on the occasion of his 70th birthday Introduction: When G is a finite group, we ma...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
The commutativity degree of a finite group is the probability that two randomly chosen group element...
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of...
In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tup...
In this paper we survey, also in historical perspective, the results connected with the notion of th...
AbstractWe prove that a randomly chosen involution and a randomly chosen additional element of a fin...
We show some results on the probability that a randomly picked pair (H;K) of subgroups of a nite gro...
Strong restrictions on the structure of a group $G$ can be given, once that it is known the probabil...
Let L be a finite group with a unique minimal normal subgroup, say N. We study the conditional proba...
Let $G$ be a finite group, let $p$ be a prime and let ${\rm Pr}_p(G)$ be the probability that two ra...
Abstract. Let G be a finite group of even order. We give some bounds for the probability p(G) that a...
AbstractIn this paper we study the probability that the commutator of two randomly chosen elements i...
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...
For Bernd Fischer on the occasion of his 70th birthday Introduction: When G is a finite group, we ma...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
The commutativity degree of a finite group is the probability that two randomly chosen group element...
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of...
In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tup...
In this paper we survey, also in historical perspective, the results connected with the notion of th...
AbstractWe prove that a randomly chosen involution and a randomly chosen additional element of a fin...
We show some results on the probability that a randomly picked pair (H;K) of subgroups of a nite gro...
Strong restrictions on the structure of a group $G$ can be given, once that it is known the probabil...
Let L be a finite group with a unique minimal normal subgroup, say N. We study the conditional proba...
Let $G$ be a finite group, let $p$ be a prime and let ${\rm Pr}_p(G)$ be the probability that two ra...
Abstract. Let G be a finite group of even order. We give some bounds for the probability p(G) that a...