Locally normal subgroups of simple locally compact groups

Abstract

We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with open normaliser, and show that its properties reflect the global structure of the ambient group.

6 pages

References in corpus (2)

• Generators and commutators in finite groups; abstract quotients of compact groups
• Locally normal subgroups of totally disconnected groups. Part I: General theory

Cited by in corpus (2)

• Locally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groups
• Scale-multiplicative semigroups and geometry: automorphism groups of trees