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We prove tight lower bounds for the coefficients of the general- ized h-vector of a rational polytope with a symmetry of prime order that is fixed-point-free on the boundary. These bounds generalize results of R. Stan- ley and R. Adin for the h-vector of a simplicial rational polytope with a central symmetry or a symmetry of prime order respectively.

On Generalized h -Vectors of Rational Polytopes with a Symmetry of Prime Order