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The Z(3) gauge model with double plaquette representation of the action on ageneralized Bethe lattice of plaquettes is constructed. It is reduced to thespin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of asecond-order phase transition ending in the tricritical point is found.Comment: 5 pages (LaTeX) and one postscript figur

Tricritical phenomena in a Z(3) lattice gauge theory