62 citations · 197 across the 31 of their papers we have counts for
33 papers
The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups
Yehuda Shalom, Tyakal Venkataramana, George Willis
We prove that every infinite subgroup of a higher rank irreducible lattice in a semi-simple Lie group has finite index in the lattice, proving the Margulis-Zimmer conjecture for th…
Flat groups of automorphisms of totally disconnected, locally compact groups
George A. Willis
A group, $\fl{H}$, of automorphisms of a totally disconnected locally compact group, , is flat if there is a compact open such that the index is mi…
Groups with flat-rank greater than 1
George A. Willis
A general method for finding subgroups of a totally disconnected, locally compact groups having flat-rank greater than 1 is described. This method uses the internal structure of th…
Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings
Max Carter, George A. Willis
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disc…
A totally disconnected invitation to locally compact groups
Pierre-Emmanuel Caprace, George A. Willis
We present a selection of results contributing to a structure theory of totally disconnected locally compact groups.
Scale Groups
George A. Willis
Closed subgroups of the group of isometries of the regular tree $\treeq$ that fix an end of the tree and are vertex-transitive are shown to correspond, on one hand, to self-replica…