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Miklos Schweitzer 1971_1

Source:

October 29, 2008
topologysearchsuperior algebrasuperior algebra unsolved

Problem Statement

Let G G be an infinite compact topological group with a Hausdorff topology. Prove that G G contains an element g \not\equal{} 1 such that the set of all powers of g g is either everywhere dense in G G or nowhere dense in G G. J. Erdos
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