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Automorphism towers of groups of homeomorphisms of Cantor space (2021)
Journal Article
Olukoya, F. (2021). Automorphism towers of groups of homeomorphisms of Cantor space. Israel Journal of Mathematics, 244(2), 883-899. https://doi.org/10.1007/s11856-021-2196-z

We show that for any full and sufficiently transitive (i.e., flexible) group G of homeomorphisms of Cantor space, Aut(Aut(G)) = Aut(G). This class contains many generalisations of the Higman-Thompson g roups Gn,r, and the Rational group R2
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