THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE

Inoue, Ayumu

doi:https://doi.org/10.18910/92410

THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE

Inoue, Ayumu

Osaka Journal of Mathematics, 2023, 60(3), 597-611

アクセス数:178件（2026-07-14 00:54 集計）

固定URL: https://doi.org/10.18910/92410

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タイトル	THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE
著者	NRID 1000010610149 1000010610149 著者名 Inoue, Ayumu
抄録	A quandle is an algebraic system which excels at describing limited symmetries of a space. We introduce the concept of Schläfli quandles which are defined relating to chosen rotational symmetries of regular tessellations. On the other hand, quandles have a good chemistry with knot theory. Associated with a knot we have its knot quandle. We show that the knot quandle of the m-twist-spun trefoil is a central extension of the Schläfli quandle related to the regular tessellation {3,m} in the sense of the Schläfli symbol if m ≥ 3.
出版者	Osaka University and Osaka Metropolitan University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(3)
ページ	597-611
刊行年月	2023-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/92410
DOI	https://doi.org/10.18910/92410
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 3 （2023-7）

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. 2023, 60(3), p. 597-611
DC.title	THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE
DC.creator	Inoue, Ayumu
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	2023-07
DCTERMS.abstract	A quandle is an algebraic system which excels at describing limited symmetries of a space. We introduce the concept of Schläfli quandles which are defined relating to chosen rotational symmetries of regular tessellations. On the other hand, quandles have a good chemistry with knot theory. Associated with a knot we have its knot quandle. We show that the knot quandle of the m-twist-spun trefoil is a central extension of the Schläfli quandle related to the regular tessellation {3,m} in the sense of the Schläfli symbol if m ≥ 3.
DC.identifier	10.18910/92410
DC.format	92410
citation_title	THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE
citation_author	Inoue, Ayumu
citation_publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
citation_language	英語
citation_date	2023-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	3
citation_firstpage	597
citation_lastpage	611
citation_public_url	https://hdl.handle.net/11094/92410
citation_doi_detail	10.18910/92410
citation_doi	https://doi.org/10.18910/92410

THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE

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