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      Class groups of dihedral extensions

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      Author(s)
      Lemmermeyer, F.
      Date
      2005-05
      Source Title
      Mathematische Nachrichten
      Print ISSN
      0025-584X
      Electronic ISSN
      1522-2616
      Publisher
      Wiley - V C H Verlag GmbH & Co. KGaA
      Volume
      278
      Issue
      6
      Pages
      679 - 691
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      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).
      Keywords
      Class groups
      Dihedral extension
      Unramified extensions
      Reflection theorems
      Embedding problems
      Permalink
      http://hdl.handle.net/11693/48584
      Published Version (Please cite this version)
      https://10.1002/mana.200310263
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      • Department of Mathematics 653
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