46 citations · 209 across the 32 of their papers we have counts for
23 papers · 1 filter
Geometric invariants of locally compact groups: the homotopical perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
We extend the classical theory of homotopical -sets developed by Bieri, Neumann, Renz and Strebel for abstract groups, to -sets for locally compact…
On the Boone--Higman Conjecture for groups acting on locally finite trees
Kai-Uwe Bux, Claudio Llosa Isenrich, Xiaolei Wu
We develop a method for proving the Boone--Higman Conjecture for groups acting on locally finite trees. As a consequence, we prove the Boone--Higman Conjecture for all Baumslag--So…
Coset Posets of Infinite Groups
Kai-Uwe Bux, Cora Welsch
We consider the coset poset associated with the families of proper subgroups, proper subgroups of finite index, and proper normal subgroups of finite index. We investigate under wh…
Non-crossing partitions
Barbara Baumeister, Kai-Uwe Bux, Friedrich Götze +2
Non-crossing partitions have been a staple in combinatorics for quite some time. More recently, they have surfaced (sometimes unexpectedly) in various other contexts from free prob…
On the bordification of outer space
Kai-Uwe Bux, Peter Smillie, Karen Vogtmann
We give a simple construction of an equivariant deformation retract of Outer space which is homeomorphic to the Bestvina-Feighn bordification. This results in a much easier proof t…
From local to global conjugacy of subgroups of relatively hyperbolic groups
Oleg Bogopolski, Kai-Uwe Bux
Suppose that a finitely generated group is hyperbolic relative to a collection of subgroups . Let be subgroups of such that is…