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We investigate the 3d lattice topological field theories defined by Chung,Fukuma and Shapere. We concentrate on the model defined by taking a deformation$\D{G}$ of the quantum double of a finite commutative group $G$ as theunderlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partitionfunction is related to that of Dijkgraaf-Witten by $\zcfs = |\zdw|^2$ when$G=\Z_{2N+1}$. For $G=\Z_{2N}$, such a relation does not hold.Comment: 13 pages, 3 PS figures include

ON THREE-DIMENSIONAL TOPOLOGICAL FIELD THEORIES CONSTRUCTED FROM Dω(G) FOR FINITE GROUPS

ON THREE-DIMENSIONAL TOPOLOGICAL FIELD THEORIES CONSTRUCTED FROM D^ω(G) FOR FINITE GROUPS