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Remarks on $Z_p$-extensions of number fields

Remarks on $Z_p$-extensions of number fields

Let p be any prime number and k any finite extension of the rational number field Q.Let K be a Zp-extension of k, namely, a Galois extension whose Galois group is topologically isomorphic to the p-adic integer ring For an integer n _ 0, we denote by kn the intermediate …