Finite groups with integer harmonic mean of element orders
Group Theory
2023-10-03 v1
Abstract
In this paper, we introduce a new function computing the harmonic mean of element orders of a finite group. We present a series of properties for this function, and then we study groups for which the value of the function is an integer.
Cite
@article{arxiv.2310.00181,
title = {Finite groups with integer harmonic mean of element orders},
author = {Iulia Cătălina Pleşca and Marius Tărnăuceanu},
journal= {arXiv preprint arXiv:2310.00181},
year = {2023}
}
Comments
To appear in J. Algebra Appl