2022/05/30 by Andrea Lucchini, Pablo Spiga, Lucchini, Andrea +1
Computer Science · Materials Science · Mathematics · #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research #Graphene research and applications #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.2205.14984
openalex publication_date 2022/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a finite group G, the Engel graph of G 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 G 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.