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Arboreal Galois Group of Quadratic PCF by Gaston GB is a document available to read on EtoBox.

This document summarizes the main results of a paper about computing the arboreal Galois group of the postcritically finite polynomial f(z) = z^2 - 1. The authors define a subgroup M_∞ of the automorphism group of the infinite binary rooted tree Aut(T_∞) called the arithmetic basilica group. They show that the arboreal Galois group G_∞ is isomorphic to a subgroup of M_∞, and provide conditions for when G_∞ is isomorphic to the full group M_∞. Specifically, G_∞ is isomorphic to M_∞ if G_5 (the Galois group a

Author

Gaston GB

Language

EN