Two-generator subgroups of the pure braid group

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dc.creatorLeininger, Christopher J
dc.creatorMargalit, Dan
dc.date2008-12-09
dc.date.accessioned2026-07-07T12:10:54Z
dc.date.available2026-07-07T12:10:54Z
dc.descriptionWe 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0812.1783
dc.identifierhttp://arxiv.org/abs/0812.1783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210067
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject20F36; 20F28
dc.titleTwo-generator subgroups of the pure braid group
dc.typetext

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