Class groups of dihedral extensions

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Lemmermeyer F.

MATHEMATISCHE NACHRICHTEN, cilt.278, sa.6, ss.679-691, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 278 Sayı: 6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1002/mana.200310263
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.679-691
  • Anahtar Kelimeler: class groups, dihedral extension, unramilied extensions, reflection theorems, embedding problems, 3-CLASS GROUPS, EXISTENCE, 4-RANK
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let KIF 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).