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math.GR2025
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…
math.GR2024
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 com…