ON THE GENERALIZED DUNWOODY 3-MANIFOLDS

Kim, Soo Hwan; Kim, Yangkok

doi:https://doi.org/10.18910/25088

アクセス数:96件（2024-05-14 08:34 集計）

固定URL: https://doi.org/10.18910/25088

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タイトル	ON THE GENERALIZED DUNWOODY 3-MANIFOLDS
著者	著者名 Kim, Soo Hwan
著者	著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(2)
ページ	457-476
刊行年月	2013-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/25088
DOI	https://doi.org/10.18910/25088
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 2　(2013-6）

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. 2013, 50(2), p. 457-476
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-06
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	10.18910/25088
DC.format	application/pdf
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_public_url	https://hdl.handle.net/11094/25088
citation_doi_detail	10.18910/25088
citation_doi	https://doi.org/10.18910/25088

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