A generalization of the probability that the commutator of two group elements is equal to a given element

Abstract

The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.

To appear in Bull. Iranian Math. Soc. with some revisions

References in corpus (1)

• Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups

Cited by in corpus (5)

• Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups
• Remarks on the tensor degree of finite groups
• Considerations on the subgroup commutativity degree and related notions
• Permutability degrees of finite groups
• On The Relative N-Tensor Nilpotent Degree of Finite Groups