Two-generator subgroups of the pure braid group

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We show that any two elements of the pure braid group either commute or generate a free group, settling a question of Luis Paris. Our proof involves the theory of 3-manifolds and the theory of group actions on trees.
7 pages

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Geometric Topology, Group Theory, 20F36; 20F28

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http://salesiana.dossiersoluciones.com/handle/123456789/210067

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.1783
 http://arxiv.org/abs/0812.1783

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arXiv