Browsing by Subject "Reflection theorems"

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    Class groups of dihedral extensions
    (Wiley - V C H Verlag GmbH & Co. KGaA, 2005-05) Lemmermeyer, F.
    Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p-ranks of the class groups Cl(K) and Cl(k).