Probabilistic aspects of ZM-groups
Group Theory
2017-12-20 v1
Abstract
In this paper we study probabilistic aspects such as (cyclic) subgroup commutativity degree and (cyclic) factorization number of ZM-groups. We show that these quantities can be computed using the sizes of the conjugacy classes of these groups. In the end, we point out a class of groups whose (cyclic) subgroup commutativity degree vanishes asymptotically.
Cite
@article{arxiv.1712.06692,
title = {Probabilistic aspects of ZM-groups},
author = {Mihai-Silviu Lazorec},
journal= {arXiv preprint arXiv:1712.06692},
year = {2017}
}
Comments
12 pages