Geodesic
One-dimensional actions of Higman's group
Discrete analysis (2019) Cet article a éte moissonné depuis la source Scholastica

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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.
Publié le : 
@article{DAS_2019_a0,
     author = {Crist\'obal Rivas and Michele Triestino},
     title = {One-dimensional actions of {Higman's} group},
     journal = {Discrete analysis},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2019_a0/}
}
TY  - JOUR
AU  - Cristóbal Rivas
AU  - Michele Triestino
TI  - One-dimensional actions of Higman's group
JO  - Discrete analysis
PY  - 2019
UR  - http://geodesic.mathdoc.fr/item/DAS_2019_a0/
LA  - en
ID  - DAS_2019_a0
ER  - 
%0 Journal Article
%A Cristóbal Rivas
%A Michele Triestino
%T One-dimensional actions of Higman's group
%J Discrete analysis
%D 2019
%U http://geodesic.mathdoc.fr/item/DAS_2019_a0/
%G en
%F DAS_2019_a0
Cristóbal Rivas; Michele Triestino. One-dimensional actions of Higman's group. Discrete analysis (2019). http://geodesic.mathdoc.fr/item/DAS_2019_a0/