Pablo Spiga

activity

20152026

collaborators

Showing 2024Show all

5 papers · 1 filter

math.GR2024

Kronecker classes, normal coverings and chief factors of groups

Marco Fusari, Scott Harper, Pablo Spiga

For a group $G$ , a subgroup $U \leq G$ and a group $Inn (G) \leq A \leq Aut (G)$ , we say that $U$ is an $A$ -covering group of $G$ if $G = ⋃_{a \in A} U^{a}$ . A th…

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…

math.CO2024

Haar graphical representations of finite groups and an application to poset representations

Joy Morris, Pablo Spiga

Let $R$ be a group and let $S$ be a subset of $R$ . The Haar graph $Haar (R, S)$ of $R$ with connection set $S$ is the graph having vertex set $R \times {- 1, 1}$ , where two di…

math.GR2024

On the structure of the character degree graphs having diameter three

Silvio Dolfi, Roghayeh Hafezieh, Pablo Spiga

The structure of the character degree graphs $Δ (G)$ , i.e. the prime graphs on the set $cd (G)$ of the irreducible character degrees of a finite group $G$ , such that $G$ is…

math.GR2024

Groups having minimal covering number 2 of diagonal type

Marco Fusari, Andrea Previtali, Pablo Spiga

Garonzi and Lucchini~\cite{GL} explored finite groups $G$ possessing a normal $2$ -covering, where no proper quotient of $G$ exhibits such a covering. Their investigation offered a…