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math.GR2019
One-dimensional actions of Higman's group
Cristóbal Rivas, Michele Triestino
We build a faithful action of Higman's group on the line by homeomorphisms, answering a question of Yves de Cornulier. As a by-product we obtain many quasimorphisms from the Higman…
math.GR2019
Uniformly perfect finitely generated simple left orderable groups
James Hyde, Yash Lodha, Andrés Navas +1
We show that the finitely generated simple left orderable groups constructed by the first two authors in arXiv:1807.06478 are uniformly perfect - each element in the group ca…