Conjugacy in Artin groups and applications to the classification of surfaces

dc.creatorGodelle, Eddy
dc.creatorTeicher, Mina
dc.creatorKaplan, Shmuel
dc.date2003-12-09
dc.date.accessioned2026-07-07T05:03:42Z
dc.date.available2026-07-07T05:03:42Z
dc.descriptionWe show thatthe double reversing algorithm proposed by dehornoy for solving the word problem in the braid group can also be used to recognize the conjugates of powers of the generators in an Artin group of spherical type. The proof uses a characterization of these powers in terms of their fractional decomposition. This algorithm could have potential applications to braid-based cryptography; it also provides a fast method for testing a necessary condition in the classification of surfaces in algebraic geometry.
dc.identifierhttps://arxiv.org/abs/math/0312188
dc.identifierhttp://arxiv.org/abs/math/0312188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69529
dc.subjectGroup Theory
dc.subject20F36; 14J10
dc.titleConjugacy in Artin groups and applications to the classification of surfaces
dc.typetext

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