Groupes de Galois sur
Groupes de Galois sur
Groups of Order 32 as Galois Groups
2000 Mathematics Subject Classification: 12F12.We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well.This work is partially supported by project of Shumen University
Halbordnungen und maximale Teilkörper in gelochten algebraisch-abgeschlossenen Körpern.
Heckesche Systeme idealer Zahlen und Knesersche Körpererweiterungen
Einleitung. Eine klassische Konstruktion aus der algebraischen Zahlentheorie ist folgende: Zu jedem algebraischen Zahlkörper K kann man ein sogenanntes System idealer Zahlen S zuordnen, welches eine Untergruppe der multiplikativen Gruppe ℂ* der komplexen Zahlen ist derart, daß die Faktorgruppe S/K* in kanonischer Weise isomorph zu der Klassengruppe von K ist. Diese Konstruktion geht auf Hecke [5] zurück und hat folgende wichtige Eigenschaft, die auch bei dem Hilbertschen Klassenkörper zu K vorkommt:...
Henselian Discrete Valued Fields Admitting One-Dimensional Local Class Field Theory
2000 Mathematics Subject Classification: 11S31 12E15 12F10 12J20.This paper gives a characterization of Henselian discrete valued fields whose finite abelian extensions are uniquely determined by their norm groups and related essentially in the same way as in the classical local class field theory. It determines the structure of the Brauer groups and character groups of Henselian discrete valued strictly primary quasilocal (or PQL-) fields, and thereby, describes the forms of the local reciprocity...
Higher degree Harrison equivalence and Milnor -functor
Homological Dimension and representation type of algebras under base field extension.
Hopf Galois structures on Kummer extensions of prime power degree.
How Many Algebraic (Finite) Extensions Over The Rationals
How many algebraic (finite) extensions over the rationals.
Idéaux et types sur les corps séparablement clos
Internal monotone-light factorization for categories via preorders.
Invariante Zwischenkörper endlicher Körpererweiterungen.
Invariants and differential Galois groups in degree four
This note extends the algorithm of [hess] for computing unimodular Galois groups of irreducible differential equations of order four. The main tool is invariant theory.
Invariants dans le complété de la clôture algébrique d'un corps local
Irreducible discriminant components of coefficient spaces
Irreducible polynomials over finite fields with linearly independent roots
Kneser and Hereditarily Kneser Subgroups of a Profinite Group
2000 Mathematics Subject Classification: 20E18, 12G05, 12F10, 12F99.Given a profinite group Γ acting continuously on a discrete quasi-cyclic group A, certain classes of closed subgroups of Γ (radical, hereditarily radical, Kneser, almost Kneser, and hereditarily Kneser) having natural field theoretic interpretations are defined and investigated. One proves that the hereditarily Kneser subgroups of Γ form a closed subspace of the irreducible spectral space of all closed subgroups of Γ, and a hereditarily...
Konstruktion algebraischer Zahlkörper mit beliebiger Gruppe von Primzahlpotenzordnung. I. Emmy Noether zum Gedächtnis