4 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-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…