The 3-cocycles of the Alexander quandles Fq[T]/(T-omega)
Abstract
We determine the third cohomology of Alexander quandles of the form Fq[T]/(T-omega), where Fq denotes the finite field of order q and omega is an element of F-q which is neither 0 nor 1. As a result, we obtain many concrete examples of non-trivial 3-cocycles.
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