A Cohomological Property of Regular p-Groups.
Nilpotente Gruppen und Stabilitätsgruppen.
Subnormale Einbettung von Paaren von Gruppen.
Über die Stabilitätsgruppen der Untergruppenreihen einer endlichen Gruppe.
Lokale Formationen endlicher Gruppen.
Normal p-Subgroups in the Group of Outer Automorphisms of a Finite p-Group.
Group Extensions and Splitting Modules.
The Stickelberger element of an imaginary quadratic field
On 2-extensions of the rationals with restricted ramification
For a finite group G let 𝒦₂(G) denote the set of normal number fields (within ℂ) with Galois group G which are 2-ramified, that is, unramified outside {2,∞}. We describe the 2-groups G for which 𝒦₂(G) ≠ ∅, and determine the fields in 𝒦₂(G) for certain distinguished 2-groups G appearing (dihedral, semidihedral, modular and semimodular groups). Our approach is based on Fröhlich's theory of central field extensions, and makes use of ring class field constructions (complex multiplication).
Quaternion extensions with restricted ramification
In any normal number field having Q₈, the quaternion group of order 8, as Galois group over the rationals, at least two finite primes must ramify. The classical example by Dedekind of such a field is extraordinary in that it is totally real and only the primes 2 and 3 are ramified. In this note we describe in detail all Q₈-fields over the rationals where only two (finite) primes are ramified. We also show that, for any integer n>3 and any prime , there exist unique real and complex normal number...
The Embedding of Quasinormal Subgroups in Finite Groups.
Correction to "Computing Galois groups by means of Newton polygons" (Acta Arith. 115 (2004), 71-84)
Computing Galois groups by means of Newton polygons
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