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arXiv · 2304.09610

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

F. Dalla Volta·F. Mastrogiacomo·P. Spiga
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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.

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F. Dalla Volta, F. Mastrogiacomo, P. Spiga. 2023-04-19. On the strong connectivity of the 2-Engel graphs of almost simple groups. https://arxiv.org/abs/2304.09610

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