On sufficient conditions for being finite quandles

Yongju Bae, Byeorhi Kim

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In 2006, Nelson and Wong introduced that every finite quandle can be decomposed into a disjoint union of some quandles and for given n quandles satisfying certain conditions, there is a quandle which is a disjoint union of the n quandles. In 2008, Ehrman, Gurpinar, Thibault and Yetter also introduced similar results about the decomposition of quandles. In this paper, we observe an operation table Q which consists of four sub-operation tables, where diagonal tables are quandle operations. We study which conditions make Q a quandle operation table.

Original languageEnglish
Article number1940011
JournalJournal of Knot Theory and its Ramifications
Volume28
Issue number13
DOIs
StatePublished - 1 Nov 2019

Keywords

  • connected
  • orbit
  • Quandle
  • quandle inner automorphism group
  • rack

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