• Title/Summary/Keyword: Quandle 2-cocycle

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Inner Automorphisms of an Abelian Extension of a Quandle

  • Yongju Bae;Byeorhi Kim
    • Kyungpook Mathematical Journal
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    • v.63 no.4
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    • pp.709-718
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    • 2023
  • The inner automorphism groups of quandles are related to the classification problem of quandles. The inner automorphism group of a quandle is generated by inner automorphisms which are presented by columns in the operation table of the quandle. In this paper, we describe inner automorphisms of an abelian extension of a quandle by expressing columns of the operation table of the extended quandle as columns of the operation table of the original quandle. Such a description will be helpful in studying inner automorphism groups of abelian extensions of quandles.