A note on free pro-\(p\)-extensions of algebraic number fields

DOI10.5802/jtnb.86zbMath0784.11052OpenAlexW2010081823MaRDI QIDQ1311054

Masakazu Yamagishi

Publication date: 26 January 1994

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_1993__5_1_165_0

zbMATH Keywords

maximal rankweak Leopoldt conjecturefree pro-\(p\) Galois groups

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Galois cohomology (11R34)

Related Items (4)

A note on free pro-\(p\)-extensions of algebraic number fields. II ⋮ Pro-\(\ell\)-extensions of \(\mathfrak l\)-rational number fields ⋮ Galois representations with open image ⋮ Global \(\ell\)-adique clean field theory

Cites Work

• On regular number fields
• On the structure of certain Galois groups
• Galois Cohomology
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Epimorphisms of Demushkin groups
• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
• Extensions with given points of ramification.
• On Galois groups of p-closed algebraic number fields with restricted ramification.
• Sur les p -extensions des corps p -rationnels
• On Galois groups of p-closed algebraic number fields with restricted ramification II.
• Freie Produktzerlegungen von Galoisgruppen und Iwasawa-Invarianten für p-Erweiterungen von
• On the center of Galois groups of maximal pro-p extensions of algebraic number fields with restricted ramification.
• LOCAL EXTENSIONS ASSOCIATED WITH $ l$-EXTENSIONS WITH GIVEN RAMIFICATION
• ON SOME QUESTIONS IN THE THEORY OF Γ-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS
• Classification of Demushkin Groups
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