23 citations · 86 across the 16 of their papers we have counts for
4 papers · 1 filter
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…