On equivalence of number fields

DOI10.1007/BF02786519zbMath0592.12006OpenAlexW4236950807MaRDI QIDQ1075370

Jack Sonn

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786519

zbMATH Keywords

fieldsdecompositiongroupsproductcentral division algebraalgebraic number fieldDedekind zeta-functionadmissible grouparithmetically equivalentcrossedequivalence of numberisomorphic Galois groupsSylow-metacyclic

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Galois theory (11R32) Zeta functions and (L)-functions of number fields (11R42) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items

Admissibility and field relations ⋮ On the norm groups of global fields ⋮ On equivalent number fields with special Galois groups

Cites Work

• Q-admissibility of solvable groups
• Sylow-metacyclic groups and Q-admissibility
• Isomorphisms of Galois groups
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• Subfields of division rings. I
• Kennzeichnung der p-adischen und der endlichen algebraischen Zahlkörper
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• Endliche Gruppen I