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Note on the rings of integers of certain tame 2-Galois extensions over a number field

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Publication:998229
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DOI10.1007/BF02960855zbMath1131.11069MaRDI QIDQ998229

J. Martínez

Publication date: 29 August 2007

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)



Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)


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Biographical Sketch of Professor Humio Ichimura



Cites Work

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  • Normal integral basis and ray class group modulo 4.
  • Greenberg's conjecture and the Iwasawa polynomial
  • Normal integral bases in quadratic and cyclic cubic extensions of quadratic fields
  • Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring
  • Galois module structure of elementary abelian extensions
  • Note on the ring of integers of a Kummer extension of prime degree. V.
  • Groups of order 16 as Galois groups
  • Swan modules and Hilbert-Speiser number fields
  • Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8
  • Stickelberger ideals of conductor \(p\) and their application
  • Nontrivial Galois module structure of cyclotomic fields
  • Normal integral bases and ray class groups
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