Scale-multiplicative semigroups and geometry: automorphism groups of trees
Group Theory
2013-12-05 v1
Abstract
A scale-multiplicative semigroup in a totally disconnected, locally compact group is one for which the restriction of the scale function on 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.
Cite
@article{arxiv.1312.1064,
title = {Scale-multiplicative semigroups and geometry: automorphism groups of trees},
author = {Udo Baumgartner and Jacqui Ramagge and George A. Willis},
journal= {arXiv preprint arXiv:1312.1064},
year = {2013}
}
Comments
submitted to Groups, Geometry, and Dynamics