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Continuous affine transformations of locally compact totally disconnected groups

Continuous affine transformations of locally compact totally disconnected groups

1. Introduction.In this paper the followings shall be proved.Let G be a locally compact totally disconnected non-discrete group and let T be a continuous automorphism of G.If there are two elements a and w in G such that {T(a)(w)ln=O, +_1, +_2, ...} is dense in G then G is compact, …