In this paper we continue to explore the index of elliptic units. In a previous article we determined the asymptotic behavior in Z(p)-extensions of the p-part of this index divided by the p-part of the ideal class number. We proved the existence of an invariant mu(infinity) which governs this behavior, and gave sufficient conditions for the vanishing of mu(infinity). Here we give examples with nonzero mu(infinity), especially in the case of anticyclotomic Z(p)-extensions.
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