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math.GR2022★ 1 cited
Finitely presented left orderable monsters
Francesco Fournier-Facio, Yash Lodha, Matthew C. B. Zaremsky
A left orderable monster is a finitely generated left orderable group all of whose fixpoint-free actions on the line are proximal: the action is semiconjugate to a minimal action s…
math.GR2022★ 5 cited
Braided Thompson groups with and without quasimorphisms
Francesco Fournier-Facio, Yash Lodha, Matthew C. B. Zaremsky
We study quasimorphisms and bounded cohomology of a variety of braided versions of Thompson groups. Our first main result is that the Brin--Dehornoy braided Thompson group has…