A note on central automorphisms of groups
A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.
A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.
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...