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 language | English |
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Article number | 1642012 |
Journal | Journal of Knot Theory and its Ramifications |
Volume | 25 |
Issue number | 12 |
DOIs | |
State | Published - 1 Oct 2016 |
Keywords
- m -almost quasigroup quandle
- Quandle
- quandle homology
- rack homology
- torsion subgroup