Odoni's conjecture on arboreal Galois representations is false

Philip Dittmann, Borys Kadets

Suppose $f\in K[x]$ is a polynomial. The absolute Galois group of $K$ acts on the preimage tree $\mathrm{T}$ of $0$ under $f$. The resulting homomorphism $ϕ_f: \mathrm{Gal}_K \to…