Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Automorphism groups of polycyclic-by-finite groups and arithmetic groups

Oliver Baues;  Fritz Grunewald — 2006

Publications Mathématiques de l'IHÉS

We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic hull functor initiated by Mostow. We thus make applicable refined methods from the theory of algebraic and arithmetic groups. We also construct examples of polycyclic-by-finite groups which have an automorphism group which does not contain an arithmetic...

Abelian simply transitive affine groups of symplectic type

Oliver Baues;  Vicente Cortés — 2002

Annales de l’institut Fourier

The set of all Abelian simply transitive subgroups of the affine group naturally corresponds to the set of real solutions of a system of algebraic equations. We classify all simply transitive subgroups of the symplectic affine group by constructing a model space for the corresponding variety of solutions. Similarly, we classify the complete global model spaces for flat special Kähler manifolds with a constant cubic form.

Page 1

Download Results (CSV)