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

dc.authorid Atalan, Ferihe/0000-0001-6547-0570
dc.authorscopusid 36132841800
dc.authorscopusid 36059157800
dc.authorwosid Korkmaz, Mustafa/ABA-3419-2020
dc.authorwosid Atalan, Ferihe/JRY-6739-2023
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.department Atılım University en_US
dc.department-temp [Atalan, Ferihe] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Korkmaz, Mustafa] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey en_US
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.citationcount 5
dc.identifier.doi 10.3906/mat-0901-38
dc.identifier.endpage 592 en_US
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-77958517970
dc.identifier.scopusquality Q2
dc.identifier.startpage 585 en_US
dc.identifier.uri https://doi.org/10.3906/mat-0901-38
dc.identifier.uri https://hdl.handle.net/20.500.14411/1519
dc.identifier.volume 34 en_US
dc.identifier.wos WOS:000284435200013
dc.identifier.wosquality Q2
dc.institutionauthor Atalan, Ferihe
dc.language.iso en en_US
dc.publisher Tubitak Scientific & Technological Research Council Turkey en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 4
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
dc.wos.citedbyCount 5
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery 5c836044-bce3-404e-be68-c2298dfab3a2
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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