Lemmermeyer, F.2019-01-312019-01-312005-050025-584Xhttp://hdl.handle.net/11693/48584Let 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).EnglishClass groupsDihedral extensionUnramified extensionsReflection theoremsEmbedding problemsArticle10.1002/mana.2003102631522-2616