Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere
| dc.contributor.author | Atalan, Ferihe | |
| dc.contributor.author | Korkmaz, Mustafa | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:11:57Z | |
| dc.date.available | 2024-07-05T15:11:57Z | |
| dc.date.issued | 2010 | |
| dc.description | Atalan, Ferihe/0000-0001-6547-0570 | en_US |
| dc.description.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 | en_US |
| dc.identifier.doi | 10.3906/mat-0901-38 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.scopus | 2-s2.0-77958517970 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-0901-38 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1519 | |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mapping class group | en_US |
| dc.subject | growth series | en_US |
| dc.subject | growth functions | en_US |
| dc.title | Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Atalan, Ferihe/0000-0001-6547-0570 | |
| gdc.author.institutional | Atalan, Ferihe | |
| gdc.author.scopusid | 36132841800 | |
| gdc.author.scopusid | 36059157800 | |
| gdc.author.wosid | Korkmaz, Mustafa/ABA-3419-2020 | |
| gdc.author.wosid | Atalan, Ferihe/JRY-6739-2023 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Atalan, Ferihe] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Korkmaz, Mustafa] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey | en_US |
| gdc.description.endpage | 592 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 585 | en_US |
| gdc.description.volume | 34 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000284435200013 | |
| gdc.scopus.citedcount | 4 | |
| gdc.wos.citedcount | 5 | |
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