On unramified Galois extensions over maximum abelian extensions of algebraic number fields

DOI10.1007/BF01455299zbMath0557.12005MaRDI QIDQ762209

Mamoru Asada

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182974

zbMATH Keywords

linearly independent Galois extensionsmaximal abelian extensionmaximal unramified solvable extensionnot topologically finitely generatedtamely ramifiedunramified Galois extensions

Mathematics Subject Classification ID

Galois theory (11R32) Cyclotomic extensions (11R18) Ramification and extension theory (11S15)

Related Items (1)

Deformations of locally abelian Galois representations and unramified extensions

Cites Work

• The class group of all cyclotomic integers
• Galois groups of unramified solvable extensions
• On the theory of commutative formal groups
• Unramified extensions of quadratic number fields. II
• Unramified extensions of quadratic number fields. I
• Galois group of an equation \(X^ n - aX + b = 0\)
• On unramified Galois extensions of quadratic number fields

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