Several results on radical extensions

DOI10.1007/BF01198237zbMath0589.12018MaRDI QIDQ1073840

William Yslas Vélez

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

binomialsradical extensionsarithmetically equivalent fields

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Units and factorization (11R27) Cyclotomic extensions (11R18) Special polynomials in general fields (12E10)

Related Items (4)

Fields arithmetically equivalent to a radical extension of the rationals ⋮ Ramification groups and Artin conductors of radical extensions of \(\mathbb Q\) ⋮ From Field Theoretic to Abstract Co-Galois Theory ⋮ The Galois group of a radical extension of the rationals

Cites Work

• On the adèle rings of radical extensions of the rationals
• The torsion group of a radical extension
• Fields with free multiplicative groups modulo torsion
• The lattice of subfields of a radical extension
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Kronecker classes of algebraic number fields
• On normal binomials
• Contributions to the theory of Kummer extensions
• Structure theorems for radical extensions of fields
• On linear dependence of roots
• Zahlkörper mit gleicher Primzerlegung.
• Abelian binomials, power residues and exponential congruences
• On the theory of nth power residues and a conjecture of Kronecker

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