Annihilation of torsion in homology of finite m -AQ quandles

Józef H. Przytycki, Seung Yeop Yang

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3 Scopus citations

Abstract

It is a classical result in reduced homology of finite groups that the order of a group annihilates its homology. Similarly, we have proved that the torsion subgroup of rack and quandle homology of a finite quasigroup quandle is annihilated by its order. However, it does not hold for connected quandles in general. In this paper, we define an m-almost quasigroup (m-AQ) quandle which is a generalization of a quasigroup quandle and study annihilation of torsion in its rack and quandle homology groups.

Original languageEnglish
Article number1642012
JournalJournal of Knot Theory and its Ramifications
Volume25
Issue number12
DOIs
StatePublished - 1 Oct 2016

Keywords

  • m -almost quasigroup quandle
  • Quandle
  • quandle homology
  • rack homology
  • torsion subgroup

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