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Capitulation of 2-class ideals of \(\mathbb Q\left(\sqrt{-pq(2+\sqrt 2)}\right)\) where \(p\equiv q\equiv {\pm 5} \bmod 8\)

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Publication:1017362
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DOI10.5802/ambp.253zbMath1169.11046OpenAlexW2275103875MaRDI QIDQ1017362

Abdelmalek Azizi, Mohammed Talbi

Publication date: 18 May 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2009__16_1_57_0


zbMATH Keywords

capitulationunit groupsHilbert class fieldquartic fields


Mathematics Subject Classification ID

Units and factorization (11R27) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)




Cites Work

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  • Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
  • The 2-class group of biquadratic fields. II
  • Sur le 2-groupe des classes d'idéaux des corps quadratiques.
  • Kuroda's class number formula
  • Capitulation des 2-classes d'idéaux de Q(\sqrt 2,\sqrt d) où d est un entier naturel sans facteurs carrés
  • Sur la capitulation des 2-classes d'idéaux de


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