Remarks on the tensor degree of finite groups
Group Theory
2015-09-09 v2 Combinatorics
Probability
Abstract
The present paper is a note on the tensor degree of finite groups, introduced recently in literature. This numerical invariant generalizes the commutativity degree through the notion of nonabelian tensor square. We show two inequalities, which correlate the tensor and the commutativity degree of finite groups, and, indirectly, structural properties will be discussed.
Keywords
Cite
@article{arxiv.1309.5983,
title = {Remarks on the tensor degree of finite groups},
author = {Ahmad M. A. Alghamdi and Francesco G. Russo},
journal= {arXiv preprint arXiv:1309.5983},
year = {2015}
}
Comments
5 pages; to appear with revisions in Filomat