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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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

Citation Formats

F. Atalan and M. Korkmaz, “Number of pseudo-Anosov elements in the mapping class group of a four-holed sphere,” TURKISH JOURNAL OF MATHEMATICS, vol. 34, no. 4, pp. 585–592, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39700.