Pablo Spiga

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20152026

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3 papers · 1 filter

math.CO2026

An equivalence between a conjecture of Neumann-Praeger on Kronecker classes and a conjecture on cliques of derangement graphs

Jessica Anzanello, Pablo Spiga

We prove an equivalence between a conjecture of Neumann and Praeger on Kronecker classes in algebraic number fields, and a conjecture on cliques of derangement graphs in combinator…

math.CO2025

Kronecker classes and cliques in derangement graphs

Marina Cazzola, Louis Gogniat, Pablo Spiga

Given a permutation group $G$ , the derangement graph of $G$ is defined with vertex set $G$ , where two elements $x$ and $y$ are adjacent if and only if $x y^{- 1}$ is a derangement. W…

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…