Roots, symmetries and conjugacy of pseudo-Anosov mapping classes

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dc.creatorFehrenbach, Jérôme
dc.creatorLos, Jérôme
dc.date2007-10-10
dc.date.accessioned2026-07-07T08:35:29Z
dc.date.available2026-07-07T08:35:29Z
dc.descriptionAn algorithm is proposed that solves two decision problems for pseudo-Anosov elements in the mapping class group of a surface with at least one marked fixed point. The first problem is the root problem: decide if the element is a power and in this case compute the roots. The second problem is the symmetry problem: decide if the element commutes with a finite order element and in this case compute this element. The structure theorem on which this algorithm is based provides also a new solution to the conjugacy problem.
dc.identifierhttps://arxiv.org/abs/0710.2043
dc.identifierhttp://arxiv.org/abs/0710.2043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139761
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject37D20, 37E30, 37B10
dc.titleRoots, symmetries and conjugacy of pseudo-Anosov mapping classes
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