Geodesic
Spaces of orders of some one-relator groups
Alonso, Juan1 ; Brum, Joaquín2
1 Facultad de Ciencias, Universidad de la República, Montevideo, Uruguay
2 Facultad de Ingenieria, Universidad de la República, Montevideo, Uruguay
Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4161-4185

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.4161
Classification : 06F15, 20F60
Keywords: left orders, actions on the line, one-relator groups

Alonso, Juan 1 ; Brum, Joaquín 2

1 Facultad de Ciencias, Universidad de la República, Montevideo, Uruguay
2 Facultad de Ingenieria, Universidad de la República, Montevideo, Uruguay 
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Alonso, Juan; Brum, Joaquín. Spaces of orders of some one-relator groups. Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4161-4185. doi: 10.2140/agt.2018.18.4161

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