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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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.
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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
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