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20.44 (2022)

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The definition of $\text{CT}(\mathbb{Z})$ is given in 17.57. Is it true that a finitely generated subgroup of $\text{CT}(\mathbb{Z})$ either has only finitely many orbits on $\mathbb{Z}$ or there is a set of representatives for its orbits on $\mathbb{Z}$ which has positive density?

Contributor: S. Kohl

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