23 citations · 86 across the 16 of their papers we have counts for
17 papers
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…
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…
Coarse compactifications and controlled products
Tomohiro Fukaya, Shin-ichi Oguni, Takamitsu Yamauchi
We introduce the notion of controlled products on metric spaces as a generalization of Gromov products, and construct boundaries by using controlled products, which we call the Gro…
A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture
Tomohiro Fukaya, Shin-ichi Oguni
We establish a coarse version of the Cartan-Hadamard theorem, which states that proper coarsely convex spaces are coarsely homotopy equivalent to the open cones of their ideal boun…
On coarse geometric aspects of the Hilbert geometry
Ryosuke Mineyama, Shin-ichi Oguni
We begin a coarse geometric study of Hilbert geometry. Actually we give a necessary and sufficient condition for the natural boundary of a Hilbert geometry to be a corona, which is…
Coronae of product spaces and the Coarse Baum-Connes conjecture
Tomohiro Fukaya, Shin-ichi Oguni
We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which…
The coarse Baum-Connes conjecture for Busemann non-positively curved spaces
Tomohiro Fukaya, Shin-ichi Oguni
We prove that the coarse assembly maps for proper metric spaces which are non-positively curved in the sense of Busemann are isomorphisms, where we do not assume that the spaces ar…
Coronae of relatively hyperbolic groups and coarse cohomologies
Tomohiro Fukaya, Shin-ichi Oguni
We construct a corona of a relatively hyperbolic group by blowing-up all parabolic points of its Bowditch boundary. We relate the -homology of the corona with the -theory of…
On relative hyperbolicity for a group and relative quasiconvexity for a subgroup
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We consider two families of subgroups of a group. Each subgroup which belongs to one family is contained in some subgroup which belongs to the other family. We then discuss relatio…
Notes on relatively hyperbolic groups and relatively quasiconvex subgroups
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We define relatively quasiconvex subgroups of relatively hyperbolic groups in the sense of Osin and show that such subgroups have expected properties. Also we state several definit…
On Cannon-Thurston maps for relatively hyperbolic groups
Yoshifumi Matsuda, Shin-ichi Oguni
Baker and Riley proved that a free group of rank 3 can be contained in a hyperbolic group as a subgroup for which the Cannon-Thurston map is not well-defined. By using their result…
Blowing up and down compacta with geometrically finite convergence actions of a group
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We consider two compacta with minimal non-elementary convergence actions of a countable group. When there exists an equivariant continuous map from one to the other, we call the fi…
The coarse Baum-Connes conjecture for relatively hyperbolic groups
Tomohiro Fukaya, Shin-ichi Oguni
We study a group which is hyperbolic relative to a finite family of infinite subgroups. We show that the group satisfies the coarse Baum-Connes conjecture if each subgroup belongin…
Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We show that if a group is not virtually cyclic and is hyperbolic relative to a family of proper subgroups, then it has a hyperbolically embedded subgroup which contains a finitely…
The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We discuss the notion of the universal relatively hyperbolic structure on a group which is used in order to characterize relatively hyperbolic structures on the group. We also stud…
-simplicity for groups with non-elementary convergence group actions
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We prove that a countable group with an effective minimal non-elementary convergence group action is a Powers group. More strongly we prove that it is a strongly Powers group and t…