Geometry of pseudocharacters
Group Theory
2014-11-11 v4
Abstract
If G is a group, a pseudocharacter f: G-->R is a function which is "almost" a homomorphism. If G admits a nontrivial pseudocharacter f, we define the space of ends of G relative to f and show that if the space of ends is complicated enough, then G contains a nonabelian free group. We also construct a quasi-action by G on a tree whose space of ends contains the space of ends of G relative to f. This construction gives rise to examples of "exotic" quasi-actions on trees.
Cite
@article{arxiv.math/0303380,
title = {Geometry of pseudocharacters},
author = {Jason Fox Manning},
journal= {arXiv preprint arXiv:math/0303380},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper26.abs.html