Pro-\(\ell\)-extensions of \(\mathfrak l\)-rational number fields
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Publication:1363097
DOI10.1006/jnth.1997.2158zbMath0896.11043OpenAlexW1983073604MaRDI QIDQ1363097
Odile Sauzet, Jean-François Jaulent
Publication date: 17 August 1997
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1997.2158
Related Items (9)
On the cohomological dimension of pro-\(p\)-extensions of number fields ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures ⋮ A note on $p$-rational fields and the abc-conjecture ⋮ On the Galois structure of some pro-\(p\)-extensions of number fields ⋮ Families of extensions of \(\mathfrak l\)-rational number fields ⋮ A new regulator of Gross type ⋮ On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification ⋮ MILD PRO-p-GROUPS AS GALOIS GROUPS OVER GLOBAL FIELDS ⋮ Global \(\ell\)-adique clean field theory
Cites Work
- On regular number fields
- On the Leopoldt conjecture on the p-adic regulators
- Lois de réciprocité primitives. (Primitive reciprocity laws)
- A note on free pro-\(p\)-extensions of algebraic number fields
- \(p\)-rational fields, \(p\)-regular fields and restricted ramification
- Galois Cohomology
- Logarithmic classes of number fields
- Epimorphisms of Demushkin groups
- 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.
- LOCAL EXTENSIONS ASSOCIATED WITH $ l$-EXTENSIONS WITH GIVEN RAMIFICATION
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