On commuting probabilities in finite groups and rings
Rings and Algebras
2020-10-06 v1
Abstract
We 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 . We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements.
Cite
@article{arxiv.2010.01188,
title = {On commuting probabilities in finite groups and rings},
author = {Martin Juráš and Mihail Ursul},
journal= {arXiv preprint arXiv:2010.01188},
year = {2020}
}
Comments
9 pages