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On the class numbers of certain Hilbert class fields |
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| Authors: | Akito Nomura |
| Institution: | (1) Department of Mathematics, Kanazawa University, 920 Kanazawa, Japan |
| Abstract: | LetL/k be a finite Galois extension with Galois groupG, and
a group extension. We study the existence of the Galois extensionM/L/k such that the canonical projection Gal(M/k)→Gal(L/k) coincides with the given homomorphismj:E→G and thatM/L is unramified. |
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