Structural properties of dendrite groups
Group Theory
2021-02-03 v2
Abstract
Let G be the homeomorphism group of a dendrite. We study the normal subgroups of G. For instance, there are uncountably many non-isomorphic such groups G that are simple groups. Moreover, these groups can be chosen so that any isometric G-action on any metric space has a bounded orbit. In particular they have the fixed point property (FH).
Cite
@article{arxiv.1610.08488,
title = {Structural properties of dendrite groups},
author = {Bruno Duchesne and Nicolas Monod},
journal= {arXiv preprint arXiv:1610.08488},
year = {2021}
}
Comments
Modifications according to referee's comments