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The 3-cocycles of the Alexander quandles F_q[T]/(T-omega)

Takuro Mochizuki
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Abstract

We determine the third cohomology of Alexander quandles of the form F_q[T]/(T-omega), where F_q 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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BibTeXRIS

Takuro Mochizuki. 2005-03-25. The 3-cocycles of the Alexander quandles F_q[T]/(T-omega). https://doi.org/10.2140/agt.2005.5.183

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