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THE KNOT QUANDLE OF THE TWIST-SPUN TREFOIL IS A CENTRAL EXTENSION OF A SCHLÄFLI QUANDLE
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Description
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.
Journal
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- Osaka Journal of Mathematics
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Osaka Journal of Mathematics 60 (3), 597-611, 2023-07
Osaka University and Osaka Metropolitan University, Departments of Mathematics
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Details 詳細情報について
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- CRID
- 1390297039773145088
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- NII Book ID
- AA00765910
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- DOI
- 10.18910/92410
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- HANDLE
- 11094/92410
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- ISSN
- 00306126
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
