Spaces of orders of some one-relator groups.

Alonso, Juan - Brum, Joaquín

Resumen:

We show that certain left-orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general left-orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.

Detalles Bibliográficos
2018
Left orders
Actions on the line
One-relator groups
Inglés
Universidad de la República
COLIBRI
https://msp.org/agt/2018/18-7/p14.xhtml
https://hdl.handle.net/20.500.12008/47551
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)