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17.61 (2010)

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The group $\text{CT}_\mathcal{P}(\mathbb{Z})$ (see 17.60) is finitely generated if and only if $\mathcal{P}$ is finite. If $\mathcal{P} = \varnothing$, then it is isomorphic to the finitely presented (first) Higman–Thompson group (J. P. McDermott, see Remark 1.4 in S. Kohl, J. Group Theory, 20, no. 5 (2017), 1025–1030). Is it always finitely presented if $\mathcal{P}$ is finite?

Contributor: S. Kohl

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