GENERATING THE EXTENDED MAPPING CLASS GROUP BY THREE INVOLUTIONS

Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oğuz

Osaka Journal of Mathematics, 2023, 60(1), 61-75

アクセス数:74件（2025-03-13 06:22 集計）

固定URL: https://doi.org/10.18910/89993

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タイトル	GENERATING THE EXTENDED MAPPING CLASS GROUP BY THREE INVOLUTIONS
著者	著者名 Altunöz, Tülin
	著者名 Pamuk, Mehmetcik
	著者名 Yildiz, Oğuz
抄録	We prove that the extended mapping class group, Mod(Σ_g), of a connected orientable surface of genus g, can be generated by three involutions for g ≥ 5. In the presence of punctures, we prove that Mod(Σ_g,p) can be generated by three involutions for g ≥ 10 and p ≥ 6 (with the exception that for g ≥ 11, p should be at least 15).
出版者	Osaka University and Osaka Metropolitan University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(1)
ページ	61-75
刊行年月	2023-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/89993
DOI	https://doi.org/10.18910/89993
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 60, Number 1 （2023-1）

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. 2023, 60(1), p. 61-75
DC.title	GENERATING THE EXTENDED MAPPING CLASS GROUP BY THREE INVOLUTIONS
DC.creator	Altunöz, Tülin
	Pamuk, Mehmetcik
	Yildiz, Oğuz
DC.publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-01
DCTERMS.abstract	We prove that the extended mapping class group, Mod(Σ_g), of a connected orientable surface of genus g, can be generated by three involutions for g ≥ 5. In the presence of punctures, we prove that Mod(Σ_g,p) can be generated by three involutions for g ≥ 10 and p ≥ 6 (with the exception that for g ≥ 11, p should be at least 15).
DC.identifier	10.18910/89993
DC.format	89993
citation_title	GENERATING THE EXTENDED MAPPING CLASS GROUP BY THREE INVOLUTIONS
citation_author	Altunöz, Tülin
	Pamuk, Mehmetcik
	Yildiz, Oğuz
citation_publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
citation_language	英語
citation_date	2023-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	1
citation_firstpage	61
citation_lastpage	75
citation_public_url	https://hdl.handle.net/11094/89993
citation_doi_detail	10.18910/89993
citation_doi	https://doi.org/10.18910/89993