Galois groups of unramified solvable extensions

DOI10.2748/tmj/1178229257zbMath0502.12020OpenAlexW1967440199MaRDI QIDQ1172674

Koji Uchida

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229257

zbMATH Keywords

Galois groupcohomological dimensionmaximal unramified extensionpro-solvable group

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Galois theory (11R32)

Related Items (7)

On some properties of Galois groups of unramified extensions ⋮ On the existence of unramified \(p\)-extensions with prescribed Galois group ⋮ On Galois groups of abelian extensions over maximal cyclotomic fields ⋮ On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields ⋮ Deformations of locally abelian Galois representations and unramified extensions ⋮ Unnamed Item ⋮ On unramified Galois extensions over maximum abelian extensions of algebraic number fields

Cites Work

• On solvable extensions of algebraic number fields
• On the construction of fields with a given Galois group of order 𝑙^{𝑎}
• Konstruktion von Zahlkörpern mit gegebener Galoisgruppe von Primzahlpotenzordnung.

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