Kyungpook Mathematical Journal

  • 제63권4호
  • /
  • Pages.709-718
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  • 2023
  • /
  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Inner Automorphisms of an Abelian Extension of a Quandle

  • Yongju Bae (Department of Mathematics, Kyungpook National University) ;
  • Byeorhi Kim (Center for Research in Topology, POSTECH)
  • 투고 : 2023.08.12
  • 심사 : 2023.11.17
  • 발행 : 2023.12.31
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초록

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.

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과제정보

B. Kim was supported by National Research Foundation of Korea (NRF) Grant No. 2019R1A3B2067839 and Grant No. 2022R1A6A3A01086872.

참고문헌

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