Fabio Mastrogiacomo

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20232025

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math.GR2024

On the minimal degree and base size of finite primitive groups

Fabio Mastrogiacomo

Let $G$ be a finite permutation group acting on $Ω$ . A base for $G$ is a subset $B \subseteq Ω$ such that the pointwise stabilizer $G_{(B)}$ is the identity. The base size of $G$ ,…

math.GR2024

Cardinalities of irredundant bases of finite primitive groups

Fabio Mastrogiacomo

Let $G$ be a finite permutation group acting on a set $Ω$ . An ordered sequence $(ω_{1}, \dots, ω_{ℓ})$ of elements of $Ω$ is an irredundant base for $G$ if the pointwise stabilizer o…

math.GR2024

IBIS primitive groups of almost simple type

Fabio Mastrogiacomo, Pablo Spiga

Let $G$ be a finite permutation group on $Ω$ . An ordered sequence $(ω_{1} \dots, ω_{ℓ})$ of elements of $Ω$ is an irredundant base for $G$ if the pointwise stabilizer is trivial and…