On rack homology groups of finite quandles via permutations

Yongju Bae, Seonmi Choi

Research output: Contribution to journalArticlepeer-review

Abstract

A quandle is a set equipped with a binary operation satisfying three quandle axioms. It also can be expressed as a sequence of permutations of the underlying set satisfying certain conditions. In this paper, we will calculate the second rack homology group of the disjoint union of two finite quandles and the second and third rack homology groups of certain type of finite quandles.

Original languageEnglish
Article number1940004
JournalJournal of Knot Theory and its Ramifications
Volume28
Issue number11
DOIs
StatePublished - 1 Oct 2019

Keywords

  • homology group
  • permutation
  • Quandle
  • rack

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