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
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A 2007 informal survey document offering a snapshot of arboreal Galois representations and applications from the early period of renewed interest in the topic.
citing papers explorer
-
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
-
2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's History
A 2007 informal survey document offering a snapshot of arboreal Galois representations and applications from the early period of renewed interest in the topic.