On locally compact abelian groups with dense orbits under continuous affine transformations
On locally compact abelian groups with dense orbits under continuous affine transformations
1. Introduction.Let G be a locally compact abelian group and let T be a continuous automorphism of G. Then the continuous affine transformation T(a), where a is an element in G, is defined by T(a)(x) --a.T(x)for x in G.In this paper we shall study some topological properties of G which …