A new approach to the word and conjugacy problems in the braid groups

dc.creatorBirman, Joan S.
dc.creatorKo, K. H.
dc.creatorLee, J. S.
dc.date1997-12-02
dc.date1998-04-07
dc.date.accessioned2026-07-07T05:23:20Z
dc.date.available2026-07-07T05:23:20Z
dc.descriptionA new presentation of the $n$-string braid group $B_n$ is studied. Using it, a new solution to the word problem in $B_n$ is obtained which retains most of the desirable features of the Garside-Thurston solution, and at the same time makes possible certain computational improvements. We also give a related solution to the conjugacy problem, but the improvements in its complexity are not clear at this writing.
dc.descriptionThis updated version of "A new approach to the word problem in the braid groups" contains a new section on the conjugacy problem. 31 pages
dc.identifierhttps://arxiv.org/abs/math/9712211
dc.identifierhttp://arxiv.org/abs/math/9712211
dc.identifierAdvances Math.139(1998),322-353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76396
dc.subjectGeometric Topology
dc.subject20F36, 20F10, 57Mxx Journal-Advances in Mathematics (to appear)
dc.titleA new approach to the word and conjugacy problems in the braid groups
dc.typetext

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