Scale-multiplicative semigroups and geometry: automorphism groups of trees

Abstract

A scale-multiplicative semigroup in a totally disconnected, locally compact group $G$ is one for which the restriction of the scale function on $G$ is multiplicative. The maximal scale-multiplicative semigroups in groups acting 2-transitively on the set of ends of trees without leaves are determined in this paper and shown to correspond to geometric features of the tree.

submitted to Groups, Geometry, and Dynamics

References in corpus (1)

• Locally normal subgroups of simple locally compact groups