One-dimensional actions of Higman's group

Abstract : 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 group into the reals. We also show that every action by C 1-diffeomorphisms of Higman's group on the line or the circle is trivial.
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https://hal.archives-ouvertes.fr/hal-02121878
Contributor : Michele Triestino <>
Submitted on : Monday, May 6, 2019 - 8:15:53 PM
Last modification on : Wednesday, May 8, 2019 - 1:43:58 AM

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  • HAL Id : hal-02121878, version 1
  • ARXIV : 1905.00938

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Cristóbal Rivas, Michele Triestino. One-dimensional actions of Higman's group. 2019. ⟨hal-02121878⟩

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