Pablo Spiga

activity

20152026

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3 papers · 1 filter

math.GR2023

On the cardinality of irredundant and minimal bases of finite permutation groups

Francesca Dalla Volta, Fabio Mastrogiacomo, Pablo Spiga

Given a finite permutation group $G$ with domain $Ω$ , we associate two subsets of natural numbers to $G$ , namely $I (G, Ω)$ and $M (G, Ω)$ , which are the sets of ca…

math.GR2023

On the diameter of Engel graphs

Andrea Lucchini, Pablo Spiga

Given a finite group $G$ , the Engel graph of $G$ is a directed graph $Γ (G)$ encoding pairs of elements satisfying some Engel word. Namely, $Γ (G)$ is the directed graph, where the v…

math.GR2023

Cliques in derangement graphs for innately transitive groups

Marco Fusari, Andrea Previtali, Pablo Spiga

Given a permutation group $G$ , the derangement graph of $G$ is the Cayley graph with connection set the derangements of $G$ . The group $G$ is said to be innately transitive if $G$ …