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Number of pseudo-Anosov elements in the mapping class group of a four-holed sphere
Date
2010-01-01
Author
Atalan, Ferihe
Korkmaz, Mustafa
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We 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
Subject Keywords
Mapping class group
,
Growth series
,
Growth functions
URI
https://hdl.handle.net/11511/39700
Journal
TURKISH JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.3906/mat-0901-38
Collections
Department of Mathematics, Article