Rigidity of the group topology for closed Weyl transitive groups of automorphisms of a regular locally finite building

Abstract

We prove that if $G$ is a group of automorphisms of a regular locally finite building which is closed in the compact-open topology and acts Weyl transitively on the building, then $G$ admits just one Hausdorff locally compact $\sigma$-compact topology compatible with the group operations.

arXiv commentThis paper has been withdrawn due to an error in the proof of Theorem 0.6