Hopf Galois structures on Kummer extensions of prime power degree.
Idéaux et types sur les corps séparablement clos
Internal monotone-light factorization for categories via preorders.
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
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
Konstruktion von zusammenhängenden galoisschen Algebren der Charakteristik pk zu vorgegebener Gruppe der Ordnung pf.
Kummertheorie reeller Funktionenkörper einer Variablen.
Lagrange Resolvents.
L'équivalence rationnelle sur les tores.
Linear dependence of zeros of polynomials and construction of primitve elements.
Linear relations between roots of polynomials
Lineare Abhängigkeit von Wurzeln
Modified proof of a local analogue of the Grothendieck conjecture
A local analogue of the Grothendieck Conjecture is an equivalence between the category of complete discrete valuation fields with finite residue fields of characteristic and the category of absolute Galois groups of fields together with their ramification filtrations. The case of characteristic 0 fields was studied by Mochizuki several years ago. Then the author of this paper proved it by a different method in the case (but with no restrictions on the characteristic of ). In this paper...
More about the embedding of a cyclic extension into a cyclic extension.
Neuer Beweis für die Unauflösbarkeit der Gleichungen von höherem als dem vierten Grade.
Noether's problem over an algebraically closed field.
Norm limitation theorems of class field theory.