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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
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.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…