On the elasticities of Krull domains with finite cyclic divisor class group

Let R be a Krull domain with finite divisor class group CI(R). We consider possible values of rho(R), the elasticity of factorizations of R. We first determine an upper bound on rho(R) based on the distribution of height-one prime ideals in Cl(R) and characterize when this upper bound is attained. W e concentrate on the case Cl(R) = Z(pk) where p is a prime, and determine f urther bounds on rho(R) when k = 1 (i.e., Cl(R) = Z(p)). Unlike a related a nalysis for the cross number of Z(pk), we show that the elasticities of suc h domains do not take on a complete set of hypothesized values.