15 citations · 20 across the 5 of their papers we have counts for
5 papers
Finiteness properties of arithmetic groups over function fields
Kai-Uwe Bux, Kevin Wortman
We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP_\infty by comparing its large-scale geometry to the large-scale geo…
On the growth of iterated monodromy groups
Kai-Uwe Bux, Rodrigo Perez
Nekrashevych conjectured that the iterated monodromy groups of quadratic polynomials with preperiodic critical orbit have intermediate growth. We illustrate some of the difficultie…
Tangling and Braiding the Chessboard Complex
Kai-Uwe Bux
We describe a series of complexes that relate to the braid groups as the matching complexes relate to the symmetric groups. A modified construction applies as well to other complex…
Thompson's Group F is not Minimally Almost Convex
James Belk, Kai-Uwe Bux
We prove that Richard Thompson's group F is not minimally almost convex with respect to the two standard generators. This improves upon a recent result of S. Cleary and J. Taback.…
Finiteness Properties of S-Arithmetic Groups - a Survey
Kai-Uwe Bux
We give an overview about finiteness properties of soluble S-arithmetic groups. Both, the number field case and the function field case are covered. The main result is: If B is a B…