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math.CO2025
Limit spaces of vertex and edge replacement systems
Davide Perego, Matteo Tarocchi
We introduce and study VERSs (vertex and edge replacement systems) as a technology of graph expansions. We consider its history graph, an augmented tree that records each graph exp…
math.GR2025
Orderable Thompson-like groups arising from Ore categories
Davide Perego, Matteo Tarocchi
We give sufficient conditions for left- and bi-orderability of fundamental groups of Ore categories in terms of indirect factors, including Thompson groups and many of their genera…