A FINITE GENERATING SET FOR THE LEVEL 2 TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A CLOSED NON-ORIENTABLE SURFACE

Kobayashi, Ryoma; Omori, Genki

doi:https://doi.org/10.18910/66995

A FINITE GENERATING SET FOR THE LEVEL 2 TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A CLOSED NON-ORIENTABLE SURFACE

Kobayashi, Ryoma; Omori, Genki

Osaka Journal of Mathematics, 2017, 54(3), 457-474

アクセス数:91件（2025-05-25 11:11 集計）

固定URL: https://doi.org/10.18910/66995

閲覧可能ファイル

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm54_03_457	pdf	なし	2.27 MB	84	2017.11.06

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

タイトル	A FINITE GENERATING SET FOR THE LEVEL 2 TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A CLOSED NON-ORIENTABLE SURFACE
著者	著者名 Kobayashi, Ryoma
著者	NRID 1000020843303 1000020843303 著者名 Omori, Genki
抄録	We obtain a finite generating set for the level 2 twist subgroup of the mapping class group of a closed non-orientable surface. The generating set consists of crosscap pushing maps along non-separating two-sided simple loops and squares of Dehn twists along non-separating twosided simple closed curves. We also prove that the level 2 twist subgroup is normally generated in the mapping class group by a crosscap pushing map along a non-separating two-sided simple loop for genus g ≥ 5 and g = 3. As an application, we calculate the first homology group of the level 2 twist subgroup for genus g ≥ 5 and g = 3.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	54(3)
ページ	457-474
刊行年月	2017-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/66995
DOI	https://doi.org/10.18910/66995
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 54, Number 3 （2017-7）

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. 2017, 54(3), p. 457-474
DC.title	A FINITE GENERATING SET FOR THE LEVEL 2 TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A CLOSED NON-ORIENTABLE SURFACE
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	2017-07
DCTERMS.abstract	We obtain a finite generating set for the level 2 twist subgroup of the mapping class group of a closed non-orientable surface. The generating set consists of crosscap pushing maps along non-separating two-sided simple loops and squares of Dehn twists along non-separating twosided simple closed curves. We also prove that the level 2 twist subgroup is normally generated in the mapping class group by a crosscap pushing map along a non-separating two-sided simple loop for genus g ≥ 5 and g = 3. As an application, we calculate the first homology group of the level 2 twist subgroup for genus g ≥ 5 and g = 3.
DC.identifier	10.18910/66995
DC.format	66995
citation_title	A FINITE GENERATING SET FOR THE LEVEL 2 TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A CLOSED NON-ORIENTABLE SURFACE
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	2017-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	3
citation_firstpage	457
citation_lastpage	474
citation_public_url	https://hdl.handle.net/11094/66995
citation_doi_detail	10.18910/66995
citation_doi	https://doi.org/10.18910/66995

A FINITE GENERATING SET FOR THE LEVEL 2 TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A CLOSED NON-ORIENTABLE SURFACE

閲覧可能ファイル

論文情報

論文詳細を表示