Steinitz classes of extensions with Galois group \(A_4\)

DOI10.5802/JTNB.356zbMath1026.11082OpenAlexW2090426213MaRDI QIDQ1396443

Marjory Godin, Bouchaïb Sodaïgui

Publication date: 30 June 2003

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2002__14_1_241_0

zbMATH Keywords

alternating groupnumber fieldSteinitz class

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Class numbers, class groups, discriminants (11R29)

Related Items (5)

Steinitz classes of Galois extensions with Galois group having nontrivial center ⋮ On realizable Galois module classes and Steinitz classes of nonabelian extensions ⋮ Steinitz classes of tamely ramified Galois extensions of algebraic number fields ⋮ Steinitz classes of some abelian and nonabelian extensions of even degree ⋮ Realizable classes of tetrahedral extensions

Cites Work

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• Steinitz classes of relative Galois extensions of 2-power degree and embedding problems
• Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8
• Realizable classes of quaternion extensions of degree \(4\ell\)
• Steinitz classes of a nonabelian extension of degree $p^3$
• Galois module structure of abelian extensions.
• Module structure of integers in metacyclic extensions
• Steinitz classes of nonabelian extensions of degree p³
• The discriminants of relative extensions and the existence of integral bases
• Steinitz classes of cyclic extensions of prime degree.

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