49 citations · 91 across the 5 of their papers we have counts for
5 papers
Automorphisms of non-spherical buildings have unbounded displacement
Peter Abramenko, Kenneth S. Brown
If f is a nontrivial automorphism of a thick building Delta of purely infinite type, we prove that there is no bound on the distance that f moves a chamber. This has the following…
Transitivity properties for group actions on buildings
Peter Abramenko, Kenneth S. Brown
We study two transitivity properties for group actions on buildings, called Weyl transitivity and strong transitivity. Following hints by Tits, we give examples involving anisotrop…
The homology of Richard Thompson's group F
Kenneth S. Brown
In the early 1980s Ross Geoghegan and I calculated the homology of Richard Thompson's group F as a graded abelian group. It turns out that the homology admits a natural ring struct…
Forest diagrams for elements of Thompson's group F
James M. Belk, Kenneth S. Brown
We introduce forest diagrams to represent elements of Thompson's group F. These diagrams relate to a certain action of F on the real line in the same way that tree diagrams relate…
Semigroups, rings, and Markov chains
Kenneth S. Brown
We analyze random walks on a class of semigroups called ``left-regular bands''. These walks include the hyperplane chamber walks of Bidigare, Hanlon, and Rockmore. Using methods of…