Finite groups with dense solitary subgroups
Group Theory
2024-12-13 v1
Abstract
A group is said to have dense solitary subgroups if each non-empty open interval in its subgroup lattice contains a solitary subgroup. In this short note, we find all finite groups satisfying this property.
Cite
@article{arxiv.2412.08782,
title = {Finite groups with dense solitary subgroups},
author = {Marius Tărnăuceanu},
journal= {arXiv preprint arXiv:2412.08782},
year = {2024}
}
Comments
Accepted for publication in Bull. Korean Math. Soc