Finite groups in which every cyclic subgroup is the intersection of maximal subgroups
Group Theory
2025-08-07 v1
Abstract
We determine the structure of the finite groups with the property that every cyclic subgroup is the intersection of maximal subgroups, comparing this property with the one where all proper subgroups are intersections of maximal subgroups.
Cite
@article{arxiv.2508.04473,
title = {Finite groups in which every cyclic subgroup is the intersection of maximal subgroups},
author = {Andrea Lucchini},
journal= {arXiv preprint arXiv:2508.04473},
year = {2025}
}