Unique realizability of finite Abelian 2-groups as Galois groups

DOI10.1016/0022-314X(92)90025-KzbMath0756.12002MaRDI QIDQ1185814

Alexander Prestel, Christian U. Jensen

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Galois groupunique realizabilityfinite abelian 2-groups

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Limits, profinite groups (20E18) Other abelian and metabelian extensions (11R20)

Related Items (4)

On the indecomposability of a remarkable new family of modules appearing in Galois theory ⋮ Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel ⋮ $p$-groups have unbounded realization multiplicity ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\)

Cites Work

• Algebraic extensions of arbitrary fields
• Galois groups of intersections of local fields
• On henselizations of valued fields
• Remarks on the Pythagoras and Hasse number of real fields.
• Cyclic Extensions of K(√-1)/K
• Zum Einbettungsproblem.
• $\Gamma $-extensions et invariants cyclotomiques
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