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

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説明

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.

収録刊行物

  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 60 (3), 597-611, 2023-07

    Osaka University and Osaka Metropolitan University, Departments of Mathematics

詳細情報 詳細情報について

  • CRID
    1390297039773145088
  • NII書誌ID
    AA00765910
  • DOI
    10.18910/92410
  • HANDLE
    11094/92410
  • ISSN
    00306126
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • JaLC
    • IRDB

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