Geodesic
Groups with infinitely many ends are not fraction groups
Dawid Kielak1 orcid
1Universität Bonn, Germany
Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 317-323

Voir la notice de l'article provenant de la source EMS Press

DOI

We show that any finitely generated group F with infinitely many ends is not a group of fractions of any finitely generated proper subsemigroup P, that is F cannot be expressed as a product PP−1. 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.
DOI : 10.4171/ggd/314
Classification : 20-XX
Mots-clés : Groups with infinitely many ends, groups of fractions, isolated orderings

Dawid Kielak  1

1 Universität Bonn, Germany 
Dawid Kielak. Groups with infinitely many ends are not fraction groups. Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 317-323. doi: 10.4171/ggd/314
@article{10_4171_ggd_314,
     author = {Dawid Kielak},
     title = {Groups with infinitely many ends are not fraction groups},
     journal = {Groups, geometry, and dynamics},
     pages = {317--323},
     year = {2015},
     volume = {9},
     number = {1},
     doi = {10.4171/ggd/314},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/314/}
}
TY  - JOUR
AU  - Dawid Kielak
TI  - Groups with infinitely many ends are not fraction groups
JO  - Groups, geometry, and dynamics
PY  - 2015
SP  - 317
EP  - 323
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/314/
DO  - 10.4171/ggd/314
ID  - 10_4171_ggd_314
ER  - 
%0 Journal Article
%A Dawid Kielak
%T Groups with infinitely many ends are not fraction groups
%J Groups, geometry, and dynamics
%D 2015
%P 317-323
%V 9
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/314/
%R 10.4171/ggd/314
%F 10_4171_ggd_314

Cité par Sources :