On the strong connectivity of the 2-Engel graphs of almost simple groups
Group Theory
2023-04-20 v1 Combinatorics
Abstract
The Engel graph of a finite group is a directed graph encoding the pairs of elements in satisfying some Engel word. Recent work of Lucchini and the third author shows that, except for a few well-understood cases, the Engel graphs of almost simple groups are strongly connected. In this paper, we give a refinement to this analysis.
Cite
@article{arxiv.2304.09610,
title = {On the strong connectivity of the 2-Engel graphs of almost simple groups},
author = {F. Dalla Volta and F. Mastrogiacomo and P. Spiga},
journal= {arXiv preprint arXiv:2304.09610},
year = {2023}
}