Abstract
Let be the average of the element orders of a finite group G. A research topic concerning this quantity is understanding the relation between
and
, where H is a subgroup of G. Let
be the class of finite nilpotent groups and let
be the subgroup lattice of G. In this paper, we show that the set
is dense in
. Other density results are outlined throughout the paper.
2020 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The author is grateful to the reviewers for their remarks which improve the previous version of the paper.