Topologically simple, totally disconnected, locally compact infinite matrix groups

Abstract

Groups of almost upper triangular infinite matrices with entries indexed by integers are studied. It is shown that, when the matrices are over a finite field, these groups admit a nondiscrete totally disconnected, locally compact group topology and are topologically simple.

References in corpus (2)

• Locally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groups
• A product for permutation groups and topological groups