Cyclicity degrees of finite groups
Group Theory
2015-04-08 v2
Abstract
We introduce and study the concept of cyclicity degree of a finite group . This quantity measures the probability of a random subgroup of to be cyclic. Explicit formulas are obtained for some particular classes of finite groups. An asymptotic formula and several minimality/maximality results on cyclicity degrees are also inferred.
Cite
@article{arxiv.1406.6899,
title = {Cyclicity degrees of finite groups},
author = {Marius Tărnăuceanu and László Tóth},
journal= {arXiv preprint arXiv:1406.6899},
year = {2015}
}
Comments
19 pages, revised. arXiv admin note: text overlap with arXiv:1312.1427