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math.GR2026
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…
math.GR2025
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…
math.GR2024
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…