For the PCF quadratic f(x)=2/(x-1)^2 with strictly pre-periodic critical points, explicit recursive generators for the geometric iterated monodromy group are derived, the arithmetic version is shown to have Hausdorff dimension zero, and maximality of the arboreal Galois group is verifiable at level
Bush, Wade Hindes, and Nicole R
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Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
For the PCF quadratic f(x)=2/(x-1)^2 with strictly pre-periodic critical points, explicit recursive generators for the geometric iterated monodromy group are derived, the arithmetic version is shown to have Hausdorff dimension zero, and maximality of the arboreal Galois group is verifiable at level