Author

Davide Perego

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Preprint Aug 2026

A graph-theoretical characterisation of subgroups of Thompson's group $V$

We prove a graph-theoretical characterisation of finitely generated subgroups of Thompson's group $V$: a finitely generated group embeds in $V$ if and only if it admits a faithful context-free action, or equivalently if it belongs to the class CF-TR of transition groups of context-free graphs recently introduced by Mat...

Corentin Bodart, D. D’Angeli, Davide Perego et al. · 1 citation

Open access Aug 2026

Rationality of the Gromov boundary of hyperbolic groups

In 2021, Belk, Bleak and Matucci introduced a symbolic coding of the horofunction boundary of a hyperbolic group as a clopen subset of a shift of finite type. This coding was first used by them that same year to show that hyperbolic groups embed into rational groups and then by the same authors together with Zaremsky (...

Davide Perego · Groups, Geometry, and Dynami... · 0 citations