6 citations · 10 across the 8 of their papers we have counts for
8 papers
On a family of finitely generated simple groups of homeomorphisms of the circle
Motoko Kato
The notion of chain groups of homeomorphisms of was introduced by Kim, Koberda and Lodha as a generalization of Thompson's group . Subsequently, an -version of…
Acylindrical hyperbolicity and the centers of Artin groups that are not free of infinity
Motoko Kato, Shin-ichi Oguni
Charney and Morris-Wright showed acylindrical hyperbolicity of Artin groups of infinite type associated with graphs that are not joins, by studying clique-cube complexes and the ac…
Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones
Motoko Kato, Shin-ichi Oguni
Charney and Morris-Wright showed acylindrical hyperbolicity of Artin groups of infinite type associated with graphs that are not joins, by studying clique-cube complexes and action…
Semi-simple actions of the Higman-Thompson groups on finite-dimensional CAT(0) spaces
Motoko Kato
In this paper, we study isometric actions on finite-dimensional CAT(0) spaces for the Higman-Thompson groups , which are generalizations of Thompson's group . It is known t…
Acylindrical hyperbolicity of Artin-Tits groups associated to triangle-free graphs and cones over square-free bipartite graphs
Motoko Kato, Shin-ichi Oguni
It is conjectured that the central quotient of every irreducible Artin group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin groups asso…
On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points
Motoko Kato
We give a criterion for group elements to have fixed points with respect to a semi-simple action on a complete CAT(0) space of finite topological dimension. As an application, we s…
Embeddings of right-angled Artin groups into higher dimensional Thompson groups
Motoko Kato
In this paper, we construct embeddings of right-angled Artin groups into higher dimensional Thompson groups. In particular, we embed every right-angled Artin groups into n-dimensio…
Higher dimensional Thompson groups have Serre's property FA
Motoko Kato
The Thompson group V is a subgroup of the homeomorphism group of the Cantor set. Brin defined higher dimensional Thompson groups nV as generalizations of V. We prove that nV has Se…