A. Zozaya

collaborators

7 papers

math.GR2026

Strong conciseness in profinite metabelian groups

Andoni Zozaya

A group word $w$ is said to be strongly concise in a class $C$ of profinite groups if, for every group $G \in C$ such that $w$ takes less than $2^{ℵ_{0}}$ va…

math.RA2026

Random generation of the special linear Lie algebra over finite fields

Urban Jezernik, Andoni Zozaya

We prove that the special linear Lie algebra $sl_{n} (F_{q})$ over a finite field of characteristic $p$ is generated by two random elements with high probability as…

math.GR2026

On the expected value of energy in groups

Marco Barbieri, Marusa LekÅ¡e, Andoni Zozaya

We obtain explicit upper and lower bounds for the expected action energy associated with a pair $(A, I^)$ of subsets sampled uniformly at random from a permutation group…

math.GR2025

Flexible $3$ -valent graphs of even girth

Marco Barbieri, Andoni Zozaya

We prove the existence of a connected flexible $3$ -valent vertex-transitive graph of girth $2 ℓ$ for every integer $ℓ$ . We also give a constructive proof if $ℓ$ is prime.

math.GR2025

On generalisations of conciseness

Andoni Zozaya

Based on the notions of conciseness and semiconciseness, we show that these properties are not equivalent by proving that a word originally presented by Ol'shanskii is semiconcise…

math.RA2025

Two-generation of traceless matrices over finite fields

Omer Cantor, Urban Jezernik, Andoni Zozaya

We prove that the Lie algebra $sl_{n} (F_{q})$ of traceless matrices over a finite field of characteristic $p$ can be generated by $2$ elements with exceptions when…