Number of pseudo-Anosov elements in the mapping class group of a four-holed sphere

No Thumbnail Available

Date

2010

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Tubitak Scientific & Technological Research Council Turkey

Research Projects

Organizational Units

Thumbnail Image
Organizational Unit
Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

Journal Issue

Abstract

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

Description

Atalan, Ferihe/0000-0001-6547-0570

Keywords

Mapping class group, growth series, growth functions

Turkish CoHE Thesis Center URL

Citation

5

WoS Q

Q2

Scopus Q

Q2

Source

Volume

34

Issue

4

Start Page

585

End Page

592

URI

https://doi.org/10.3906/mat-0901-38
 https://hdl.handle.net/20.500.14411/1519

Collections

WOS
Scopus