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Computing the associated groups of quandles with tools from group homology theory

Katsumi Ishikawa Fundamenta Mathematicae MSC: Primary 20N02; Secondary 20E22, 57K10 DOI: 10.4064/fm240314-24-11 Opublikowany online: 4 February 2025

Streszczenie

We give a complete description of the associated group of any quandle as a central extension of the inner automorphism group. As an application, we compute the second quandle homology groups of quandles from some families, including Alexander quandles.

Autorzy

  • Katsumi IshikawaResearch Institute for Mathematical Sciences
    Kyoto University
    Kyoto 606-8502, Japan
    e-mail

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