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THE THIRD COHOMOLOGY GROUPS OF DIHEDRAL QUANDLES

TAKURO MOCHIZUKI

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan

https://doi.org/10.1142/S0218216511009133Cited by:7 (Source: Crossref)

Abstract

We compute the third cohomology group of a dihedral quandle of odd order with finite field coefficient, generalizing our previous work. In particular, we obtain many new examples of non-trivial 3-cocycles. We check non-triviality of the associated invariant for knots.

Keywords:

AMSC: 18H40, 55A25, 57Q45

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