Ramification groups and Artin conductors of radical extensions of \(\mathbb Q\)

DOI10.5802/jtnb.470zbMath1075.11073arXivmath/0409533OpenAlexW1605617405MaRDI QIDQ2483720

Filippo Viviani

Publication date: 26 July 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409533

zbMATH Keywords

ramification groupsArtin conductors

Mathematics Subject Classification ID

Other number fields (11R21) Class field theory (11R37)

Related Items (10)

Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\) ⋮ WILD RAMIFICATION IN A FAMILY OF LOW-DEGREE EXTENSIONS ARISING FROM ITERATION ⋮ Northcott numbers for the weighted Weil heights ⋮ Points de petite hauteur sur une variété semi‐abélienne de la forme Gmn×A$\mathbb {G}_m^n \times A$ ⋮ Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction ⋮ Explicit uniformizers for certain totally ramified extensions of the field of \(p\)-adic numbers ⋮ Conductors of wild extensions of local fields, especially in mixed characteristic $(0,2)$ ⋮ Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction ⋮ PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS ⋮ On the Iwasawa asymptotic class number formula for $\mathbb {Z}_{p}^r\rtimes \mathbb {Z}_{p}$-extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Galois group of a radical extension of the rationals
• Several results on radical extensions
• The factorization of p in \({\mathbb{Q}}(a^{1/p^ k})\) and the genus field of \({\mathbb{Q}}(a^{1/n})\)
• The lattice of subfields of a radical extension
• Prime ideal decomposition in \(F({\root m\of\mu})\)
• Prime ideal decomposition in \(F(\mu^{1/p})\)
• Some results on radical extensions
• A generalization of Schinzel's theorem on radical extensions of fields and an application
• On normal binomials
• Contributions to the theory of Kummer extensions
• An integral basis of the algebraic number field Q().
• Abelian binomials, power residues and exponential congruences

This page was built for publication: Ramification groups and Artin conductors of radical extensions of \(\mathbb Q\)