The Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere

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dc.creatorAtalan, Ferihe
dc.creatorKorkmaz, Mustafa
dc.date2008-04-03
dc.date.accessioned2026-07-07T09:30:24Z
dc.date.available2026-07-07T09:30:24Z
dc.descriptionWe compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set. We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.0624
dc.identifierhttp://arxiv.org/abs/0804.0624
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158112
dc.subjectGeometric Topology
dc.subject57N05; 20F38
dc.titleThe Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere
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