ON THE GENERALIZED DUNWOODY 3-MANIFOLDS

Kim, Soo Hwan; Kim, Yangkok

doi:info:doi/10.18910/25088

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タイトル	ON THE GENERALIZED DUNWOODY 3-MANIFOLDS
著者	Kim, Soo Hwan Kim, Soo Hwan
著者	Kim, Yangkok Kim, Yangkok
抄録	We introduce a family of orientable 3-manifolds induced by certain cyclically presented groups and show that this family of 3-manifolds contains all Dunwoody 3-manifolds by using the planar graphs corresponding to the polyhedral description of the 3-manifolds. As applications, we consider two families of cyclically presented groups, and show that these are isomorphic to the fundamental groups of the certain Dunwoody 3-manifolds D_n(n≥2) which are the n-fold cyclic coverings of the 3-sphere branched over the certain two-bridge knots, and that D_n is the (Z_n⊕Z_2)-fold covering of the 3-sphere branched over two different Θ-curves.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	50
号	2
開始ページ	457
終了ページ	476
刊行年月	2013-06
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/25088
言語	英語
DOI	info:doi/10.18910/25088

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.50(2) P.457-P.476
DC.title	ON THE GENERALIZED DUNWOODY 3-MANIFOLDS
DC.creator	Kim, Soo Hwan
DC.creator	Kim, Yangkok
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-06
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/25088
DCTERMS.abstract	We introduce a family of orientable 3-manifolds induced by certain cyclically presented groups and show that this family of 3-manifolds contains all Dunwoody 3-manifolds by using the planar graphs corresponding to the polyhedral description of the 3-manifolds. As applications, we consider two families of cyclically presented groups, and show that these are isomorphic to the fundamental groups of the certain Dunwoody 3-manifolds D_n(n≥2) which are the n-fold cyclic coverings of the 3-sphere branched over the certain two-bridge knots, and that D_n is the (Z_n⊕Z_2)-fold covering of the 3-sphere branched over two different Θ-curves.
DC.identifier	info:doi/10.18910/25088
citation_title	ON THE GENERALIZED DUNWOODY 3-MANIFOLDS
citation_author	Kim, Soo Hwan
citation_author	Kim, Yangkok
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	2
citation_firstpage	457
citation_lastpage	476
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/25088
citation_doi	info:doi/10.18910/25088

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