AN INFINITE PRESENTATION FOR THE MAPPING CLASS GROUP OF A NON-ORIENTABLE SURFACE WITH BOUNDARY

Kobayashi, Ryoma; Omori, Genki

Osaka Journal of Mathematics, 2022, 59(2), 269-314

アクセス数:81件（2025-03-13 21:27 集計）

固定URL: https://doi.org/10.18910/87479

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タイトル	AN INFINITE PRESENTATION FOR THE MAPPING CLASS GROUP OF A NON-ORIENTABLE SURFACE WITH BOUNDARY
著者	著者名 Kobayashi, Ryoma
著者	NRID 1000020843303 1000020843303 著者名 Omori, Genki
抄録	We give an infinite presentation for the mapping class group of a non-orientable surface with boundary components. The presentation is a generalization of the presentation given by the second author [16]. We also give a finite presentation for the mapping class group to obtain the infinite presentation.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	59(2)
ページ	269-314
刊行年月	2022-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/87479
DOI	https://doi.org/10.18910/87479
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 59, Number 2 （2022-4）

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. 2022, 59(2), p. 269-314
DC.title	AN INFINITE PRESENTATION FOR THE MAPPING CLASS GROUP OF A NON-ORIENTABLE SURFACE WITH BOUNDARY
DC.creator	Kobayashi, Ryoma
DC.creator	Omori, Genki
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	2022-04
DCTERMS.abstract	We give an infinite presentation for the mapping class group of a non-orientable surface with boundary components. The presentation is a generalization of the presentation given by the second author [16]. We also give a finite presentation for the mapping class group to obtain the infinite presentation.
DC.identifier	10.18910/87479
DC.format	87479
citation_title	AN INFINITE PRESENTATION FOR THE MAPPING CLASS GROUP OF A NON-ORIENTABLE SURFACE WITH BOUNDARY
citation_author	Kobayashi, Ryoma
citation_author	Omori, Genki
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2022-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	59
citation_issue	2
citation_firstpage	269
citation_lastpage	314
citation_public_url	https://hdl.handle.net/11094/87479
citation_doi_detail	10.18910/87479
citation_doi	https://doi.org/10.18910/87479