ALEXANDER QUANDLES OF ORDER 16

@article{Murillo2004ALEXANDERQO,
  title={ALEXANDER QUANDLES OF ORDER 16},
  author={Gabriel Murillo and Sam Nelson},
  journal={Journal of Knot Theory and Its Ramifications},
  year={2004},
  volume={17},
  pages={273-278}
}
Isomorphism classes of Alexander quandles of order 16 are determined, and classes of connected quandles are identified. This paper extends the list of distinct connected finite Alexander quandles. 
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References

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State-sum invariants for classical knots and knotted surfaces in 4-space are developed via the cohomology theory of quandles. Cohomology groups of quandles are computed to evaluate the invariants.…
Classification of Finite Alexander Quandles
Two finite Alexander quandles with the same number of elements are isomorphic iff their Z[t,t^-1]-submodules Im(1-t) are isomorphic as modules. This yields specific conditions on when Alexander…
A classifying invariant of knots, the knot quandle
Figure 3: Results of computation of Im(Id − φ) for Alexander quandles given by automorphisms
  • Figure 3: Results of computation of Im(Id − φ) for Alexander quandles given by automorphisms