On geometric aspects of diffuse groups
Group Theory
2016-09-06 v2 Geometric Topology
Abstract
Bowditch introduced the notion of diffuse groups as a geometric variation of the unique product property. We elaborate on various examples and non-examples, keeping the geometric point of view from Bowditch's paper. In particular, we discuss fundamental groups of flat and hyperbolic manifolds. The appendix settles an open question by providing an example of a group which is diffuse but not left-orderable.
Cite
@article{arxiv.1411.6449,
title = {On geometric aspects of diffuse groups},
author = {Steffen Kionke and Jean Raimbault and Nathan Dunfield},
journal= {arXiv preprint arXiv:1411.6449},
year = {2016}
}
Comments
37 pages, main text by Kionke and Raimbault, appendix by Dunfield. v2 : updated ancillary files and added url to the references