The 2-divisibility of the class number of cyclotomic fields and the Stickelberger ideal.
The Deuring-Safarevic Formula Revisited.
The Divisibility of Normal Integral Generators.
The Euclidean algorithm for Galois extensions of Q.
The Galois Group of a Radical Extension of the Rationals.
The Galois group of the tangency problem for plane curves.
The Galois group of
The Galois module structure of algebraic integer rings in fields with generalised quaternion group
The Hasse norm principle in cyclotomic number fields.
The Hasse norm principle in non-abelian extensions.
The irreducibility of compositions of linear polynomials over a finite field
The number of S₄-fields with given discriminant
The extensions of degree 6 with minimum discriminant.
The splitting of primes in division fields of elliptic curves.
Théorie d'Iwasawa des tours métabéliennes
Topologische Automorphismen in der konstruktiven Galoistheorie.
Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties.
Two Exercises Concerning the Degree of the Product of Algebraic Numbers
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...