On the strong connectivity of the 2-Engel graphs of almost simple groups

2023/04/19 by F. Dalla Volta, Volta, F. Dalla, Fabio Mastrogiacomo +3
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2304.09610

openalex publication_date 2023/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Engel graph of a finite group G is a directed graph encoding the pairs of elements in G 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.

Related

• The Engel graph of almost simple groups
• The Engel graph of a finite group
• On the diameter of Engel graphs
• Engel graph associated with a group
• Engel and co-Engel graphs of finite groups