The Engel graph of almost simple groups
Group Theory
2022-05-31 v1 Combinatorics
Abstract
Given a finite group , the Engel graph of is a directed graph encoding pairs of elements satisfying some Engel word. From the work of Detomi, Lucchini and Nemmi, the strongly connectivity of the Engel graph of an arbitrary group is reduced to the understanding of the strongly connectivity of the Engel graph of non-abelian simple groups. In this paper, we investigate the strongly connectivity of the Engel graph of finite non-abelian simple groups.
Cite
@article{arxiv.2205.14984,
title = {The Engel graph of almost simple groups},
author = {Andrea Lucchini and Pablo Spiga},
journal= {arXiv preprint arXiv:2205.14984},
year = {2022}
}