Geodesic
The 3–cocycles of the Alexander quandles 𝔽q[T]∕(T − ω)
Mochizuki, Takuro1
1Department of Mathematics, Kyoto University, Kyoto, 606–8502, Japan
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 183-205
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We determine the third cohomology of Alexander quandles of the form Fq[T]∕(T − ω), where Fq denotes the finite field of order q and ω is an element of Fq which is neither 0 nor 1. As a result, we obtain many concrete examples of non-trivial 3–cocycles.

DOI : 10.2140/agt.2005.5.183
Keywords: quandle, cohomology, knot

Mochizuki, Takuro  1

1 Department of Mathematics, Kyoto University, Kyoto, 606–8502, Japan 
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Mochizuki, Takuro. The 3–cocycles of the Alexander quandles 𝔽q[T]∕(T − ω). Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 183-205. doi: 10.2140/agt.2005.5.183

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