On the norm groups of global fields

Weakly Kronecker equivalent number fields and global norms

“…The discovery of Theorem 2 was inspired by [16]. In this paper L. Stern proved that Galois extensions of number fields are-among all Galois extensions-characterized by their groups of global norms.…”

“…These bounds rely on the absence of exceptional primes in Theorem 3 and cannot be derived using Stern's [16], [17] methods.…”

The structure, coverage and surprising end of a conspiratorial film team

“…was given to the SWAPO as a present. Under the English title The Forgotten Colony it was shown, with a sense of sensation, to the Decolonization Committee of the UN [9]; it was treated with hostility by the representative of the West German UN mission only, as the West German Stern reported [10]. For the film shooting in Spain under the Franco dictatorship, the film crew got advice from Marcos Ana, a poet with good contacts to the Spanish opposition, living in exile in Paris.…”

On the norm groups of Galois 2n-extensions of algebraic number fields

“…The main theorem in [8] states that N K /k K * ⊆ N L/k L * iff L ⊆ K for any finite Galois extensions K and L of an algebraic number field k. It is, therefore, natural to ask how many norm groups are contained in the interval (N K /k K * , k * ) for a given finite Galois extension K /k of algebraic number fields. We already showed in [5,Corollary 4.9,p.…”