Some sporadic groups as Galois groups II
Sur les extensions de ℚ à groupe de Galois S₄ et S̃₄
Sur les extensions de groupe de Galois Ã₄
The absolute Galois group of a pseudo p-adically closed field.
The inverse Galois problem and rational points on moduli spaces.
The regular inverse Galois problem over non-large fields
By a celebrated theorem of Harbater and Pop, the regular inverse Galois problem is solvable over any field containing a large field. Using this and the Mordell conjecture for function fields, we construct the first example of a field over which the regular inverse Galois problem can be shown to be solvable, but such that does not contain a large field. The paper is complemented by model-theoretic observations on the diophantine nature of the regular inverse Galois problem.
Two remarks on the inverse Galois problem for intersective polynomials
A (monic) polynomial is called intersective if the congruence mod has a solution for all positive integers . Call nontrivially intersective if it is intersective and has no rational root. It was proved by the author that every finite noncyclic solvable group can be realized as the Galois group over of a nontrivially intersective polynomial (noncyclic is a necessary condition). Our first remark is the observation that the corresponding result for nonsolvable reduces to the ordinary...
Zöpfe und Galoissche Gruppen.
Zopfgruppen und Einbettungsprobleme.
Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper.
Всякая проективная -группа реализуема
Группы Вейля как группы Галуа некоторого регулярного расширения поля .
О задаче погружения с неабелевым ядром порядка
О задаче погружения с некоммутативным ядром порядка . III
О задаче погружения с некоммутативным ядром порядка . VI
О свободных произведениях абсолютных групп Галуа.