Finite groups with the same join graph as a finite nilpotent group
Group Theory
2023-06-22 v1
Abstract
Given a finite group we denote by the graph whose vertices are the proper subgroups of and in which two vertices and are joined by an edge if and only if We prove that if there exists a finite nilpotent group with then is supersoluble.
Cite
@article{arxiv.2003.12969,
title = {Finite groups with the same join graph as a finite nilpotent group},
author = {Andrea Lucchini},
journal= {arXiv preprint arXiv:2003.12969},
year = {2023}
}