Detecting structural properties of finite groups by the sum of element orders
Group Theory
2019-04-09 v1
Abstract
In this paper, we introduce a new function related to the sum of element orders of finite groups. It is used to give some criteria for a finite group to be cyclic, abelian, nilpotent, supersolvable and solvable, respectively.
Keywords
Cite
@article{arxiv.1904.03340,
title = {Detecting structural properties of finite groups by the sum of element orders},
author = {Marius Tărnăuceanu},
journal= {arXiv preprint arXiv:1904.03340},
year = {2019}
}