We describe all possible ways of bi-ordering Thompson’s group F: its space of bi-orderings is made up of eight isolated points and four canonical copies of the Cantor set.
Classification :
06-XX, 20-XX, 22-XX, 00-XX
Mots-clés :
Group orderings, Conrad’s property, Thompson’s group <var>F</var>
Affiliations des auteurs :
Andrés Navas
1
;
Cristóbal Rivas
1
1
Universidad de Santiago de Chile, Chile
Andrés Navas; Cristóbal Rivas. Describing all bi-orderings on Thompson’s group $F$. Groups, geometry, and dynamics, Tome 4 (2010) no. 1, pp. 163-177. doi: 10.4171/ggd/78
@article{10_4171_ggd_78,
author = {Andr\'es Navas and Crist\'obal Rivas},
title = {Describing all bi-orderings on {Thompson{\textquoteright}s} group $F$},
journal = {Groups, geometry, and dynamics},
pages = {163--177},
year = {2010},
volume = {4},
number = {1},
doi = {10.4171/ggd/78},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/78/}
}
TY - JOUR
AU - Andrés Navas
AU - Cristóbal Rivas
TI - Describing all bi-orderings on Thompson’s group $F$
JO - Groups, geometry, and dynamics
PY - 2010
SP - 163
EP - 177
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/78/
DO - 10.4171/ggd/78
ID - 10_4171_ggd_78
ER -
%0 Journal Article
%A Andrés Navas
%A Cristóbal Rivas
%T Describing all bi-orderings on Thompson’s group $F$
%J Groups, geometry, and dynamics
%D 2010
%P 163-177
%V 4
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/78/
%R 10.4171/ggd/78
%F 10_4171_ggd_78
