Normal integral bases in quadratic and cyclic cubic extensions of quadratic fields

DOI10.1007/s00013-003-0821-1zbMath1050.11097OpenAlexW1980031229MaRDI QIDQ1423787

James E. Carter

Publication date: 7 March 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-0821-1

zbMATH Keywords

normal integral basesHilbert-Speiser number field of type \(G\)

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (7)

Real abelian fields satisfying the Hilbert-Speiser condition for some small primes \(p\) ⋮ Abelian number fields satisfying the Hilbert-Speiser condition at \(p=2\) or \(3\) ⋮ On the restricted Hilbert-Speiser and Leopoldt properties ⋮ Note on imaginary quadratic fields satisfying the Hilbert-Speiser condition at a prime \(p\) ⋮ Tame Galois module structure revisited ⋮ Hilbert-Speiser number fields and the complex conjugation ⋮ Note on the rings of integers of certain tame 2-Galois extensions over a number field

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