Affiliation:
1. Mathematical Sciences, University of Southampton, SO17 1BJ, UK
Abstract
The degree of commutativity of a group [Formula: see text] measures the probability of choosing two elements in [Formula: see text] which commute. There are many results studying this for finite groups. In [Y. Antolín, A. Martino and E. Ventura, Degree of commutativity of infinite groups, Proc. Amer. Math. Soc. 145 (2017) 479–485, MR 3577854], this was generalized to infinite groups. In this note, we compute the degree of commutativity for wreath products of the form [Formula: see text] and [Formula: see text], where [Formula: see text] is any finite group.
Publisher
World Scientific Pub Co Pte Lt
Cited by
3 articles.
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1. The degree of commutativity of wreath products with infinite cyclic top group;European Journal of Mathematics;2024-03-29
2. Commuting probabilities of infinite groups;Journal of the London Mathematical Society;2020-03-11
3. The Conjugacy Ratio of Groups;Proceedings of the Edinburgh Mathematical Society;2019-02-22