M. Barbieri

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math.GR2025

Quasirandom and quasisimple groups

Marco Barbieri, Luca Sabatini

Fix $ε > 0$ . We say that a finite group $G$ is $ε$ -quasirandom if every nontrivial irreducible complex representation of $G$ has degree at least $|G|^\varepsilo…

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.

Quasirandom and quasisimple groups

Flexible 3-valent graphs of even girth

Flexible $3$ -valent graphs of even girth