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math.GR2026
McCleary--Rubin reconstruction for simple forest-skein groups
Arnaud Brothier, Ryan Seelig
A simple Ore forest-skein category produces three infinite groups analogous to Richard Thompson's groups F,T,V. We prove that reconstruction theorems of McCleary and Rubin apply to…
math.GR2025
Finitely presented simple groups with no piecewise projective actions
Arnaud Brothier, Ryan Seelig
We construct an explicit infinite family of pairwise non-isomorphic infinite simple groups of type (in particular, they are finitely presented) that act faithfu…
math.GR2024
Forest-skein groups III: simplicity
Arnaud Brothier, Ryan Seelig
An Ore forest-skein category provides three forest-skein groups equipped with a powerful diagrammatic calculus analogous to Richard Thompson's groups F,T,V. We investigate when for…