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On the main conjecture of Iwasawa theory for certain non‐cyclotomic Zp‐extensions

Kezuka, Yukako



Abstract

Let K=Q(-q), where q is any prime number congruent to 7 modulo 8, with ring of integers O and Hilbert class field H. Suppose p does not divide [H:K] is a prime number which splits in K, say pO=pp*. Let H infinity=HK infinity, where K infinity is the unique Zp-extension of K unramified outside p. Write M(H infinity) for the maximal abelian p-extension of H infinity unramified outside the primes ...

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