On the restricted Hilbert-Speiser and Leopoldt properties

zbMath1286.11186arXiv0905.2737MaRDI QIDQ351773

Cornelius Greither, Henri Johnston, James E. Carter, Nigel P. Byott

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2737

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (2)

Real abelian fields satisfying the Hilbert-Speiser condition for some small primes \(p\) ⋮ Tame Galois module structure revisited

Uses Software

• Magma
• PARI/GP
• QaoS

Cites Work

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• The Magma algebra system. I: The user language
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• 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
• Swan modules and Hilbert-Speiser number fields
• Computing residue class rings and Picard groups of orders
• On totally real Hilbert–Speiser fields of type C_p
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• Some remarks on Hilbert–Speiser and Leopoldt fields of given type
• The ring of integers of an abelian number field.
• Relative Galois module structure of rings of integers of absolutely abelian number fields
• Algorithmic Number Theory

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