Two-generator subgroups of the pure braid group

Details Two-generator subgroups of the pure braid group Two-generator subgroups of the pure braid group

2008-12-09

arxiv.org/abs/0812.1783v1

Mathematics

Geometric Topology

7 pages

Scientific paper

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.

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