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Ordering pure braid
groups on compact, connected surfaces
Juan González-Meneses |
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Vol. 203 (2002), No. 2, 369–378
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Abstract |
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We prove that the pure braid groups on compact, connected, orientable surfaces are bi-orderable, and that the pure braid groups on compact, connected non-orientable surfaces have generalized torsion, thus they are not bi-orderable. |
Milestones
Received: 10 July 2000
Revised: 8 February 2001
Published: 1 April 2002
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Authors |
| Juan González-Meneses | |
| Université de Bourgogne Laboratoire de Topologie UMR 5584 du CNRS B. P. 47870 21078 - Dijon Cedex France |
Departamento de Álgebra Facultad de Matemáticas Universidad de Sevilla C/ Tarfia, s/n 41012 - Sevilla Spain |
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