Presentations of subgroups of the braid group generated by powers of band generators

Simple item page
dc.creatorLönne, Michael
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:55Z
dc.date.available2026-07-07T13:01:55Z
dc.descriptionAccording to the Tits conjecture proved by Crisp and Paris, [CP], the subgroups of the braid group generated by proper powers of the Artin elements are presented by the commutators of generators which are powers of commuting elements. Hence they are naturally presented as right-angled Artin groups. The case of subgroups generated by powers of the band generators is more involved. We show that the groups are right-angled Artin groups again, if all generators are proper powers with exponent at least 3. We also give a presentation in cases at the other extreme, when all generators occur with exponent 1 or 2, which is far from being that of a right-angled Artin group.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0904.1469
dc.identifierhttp://arxiv.org/abs/0904.1469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226309
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F36; 20F65
dc.titlePresentations of subgroups of the braid group generated by powers of band generators
dc.typetext

Files

Collections

arXiv