Identifying Powers of Half-Twists and Computing its Root

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dc.creatorBen-Itzhak, T.
dc.creatorKaplan, S.
dc.creatorTeicher, M.
dc.date2002-11-13
dc.date2002-11-19
dc.date.accessioned2026-07-07T04:52:52Z
dc.date.available2026-07-07T04:52:52Z
dc.descriptionIn this paper we give an algorithm for solving a main case of the conjugacy problem in the braid groups. We also prove that half-twists satisfy a special root property which allows us to reduce the solution for the conjugacy problem in half-twists into the free group. Using this algorithm one is able to check conjugacy of a given braid to one of E. Artin's generators in any power, and compute its root. Moreover, the braid element which conjugates a given half-twist to one of E. Artin's generators in any power can be restored. The result is applicable to calculations of braid monodromy of branch curves and verification of Hurwitz equivalence of braid monodromy factorizations, which are essential in order to determine braid monodromy type of algebraic surfaces and symplectic 4-manifolds.
dc.description16 pages, 4 figures Revised version
dc.identifierhttps://arxiv.org/abs/math/0211197
dc.identifierhttp://arxiv.org/abs/math/0211197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65631
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleIdentifying Powers of Half-Twists and Computing its Root
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