Groups with infinitely many ends are not fraction groups
Group Theory
2015-06-08 v2
Abstract
We show that any finitely generated group with infinitely many ends is not a group of fractions of any finitely generated proper subsemigroup , that is cannot be expressed as a product . In particular this solves a conjecture of Navas in the positive. As a corollary we obtain a new proof of the fact that finitely generated free groups do not admit isolated left-invariant orderings.
Keywords
Cite
@article{arxiv.1303.1656,
title = {Groups with infinitely many ends are not fraction groups},
author = {Dawid Kielak},
journal= {arXiv preprint arXiv:1303.1656},
year = {2015}
}
Comments
Rewritten to accommodate referees comments. Identical to the published version