5 citations · 18 across the 9 of their papers we have counts for
12 papers
On the Galois module structure of minus class groups
Cornelius Greither, Takenori Kataoka
The main object of this paper is the minus class groups associated to CM-fields as Galois modules. In a previous article of the authors, we introduced a notion of equivalence for m…
Minimal Hopf-Galois Structures on Separable Field Extensions
Tony Ezome, Cornelius Greither
In Hopf-Galois theory, every -Hopf-Galois structure on a field extension gives rise to an injective map from the set of -sub-Hopf algebras of into the…
Fitting ideals of -ramified Iwasawa modules over totally real fields
Cornelius Greither, Takenori Kataoka, Masato Kurihara
We completely calculate the Fitting ideal of the classical -ramified Iwasawa module for any abelian extension of totally real fields, using the shifted Fitting ideals rece…
Tame Galois module structure revisited
Fabio Ferri, Cornelius Greither
A number field is Hilbert-Speiser if all of its tame abelian extensions admit NIB (normal integral basis). It is known that is the only such field, but when…
Abstract -adic -motives and Tate's class
Cornelius Greither, Cristian D. Popescu
In a previous paper we constructed a new class of Iwasawa modules as --adic realizations of what we called abstract --adic --motives in the number field setting. We…
Bounds on the number of ideals in finite commutative nilpotent -algebras
Lindsay N. Childs, Cornelius Greither
Let be a finite commutative nilpotent -algebra structure on , an elementary abelian group of order . If is a Galois extension of fields with Galois…