Jessica Anzanello

activity

20242026

collaborators

5 papers

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.GR2025

Finite simple groups have many classes of prime order elements

Jessica Anzanello, Pablo Spiga

Let $T$ be a finite non-abelian simple group. Giudici, Morgan and Praeger have shown that the order of $T$ is bounded above by a function depending on the maximum number of $\mathr…

math.CO2025

On the proportion of derangements in affine classical groups

Jessica Anzanello

We derive exact formulas for the proportions of derangements and of derangements of $p$ -power order in the affine classical groups $A U_{m} (q)$ , $A S p_{2 m} (q)$ , $A O_{2 m + 1} (q)$ and $AO^…

math.GR2025

The maximal rank of a string group generated by involutions for alternating groups

Jessica Anzanello, Maria Elisa Fernandes, Pablo Spiga

A string group generated by involutions, or SGGI, is a pair $Γ = (G, S)$ , where $G$ is a group and $S = {ρ_{0}, \dots, ρ_{r - 1}}$ is an ordered set of involutions generating $G$ and sat…

math.GR2024

The Chebotarev invariant for direct products of nonabelian finite simple groups

Jessica Anzanello, Andrea Lucchini, Gareth Tracey

A subset ${g_{1}, \dots, g_{d}}$ of a finite group $G$ invariably generates $G$ if ${g_{1}^{x_{1}}, \dots, g_{d}^{x_{d}}}$ generates $G$ for every choice of $x_{i} \in G$ . The Chebotarev…