Fixed point proportions for Galois groups of non-geometric iterated extensions
Jamie Juul
Abstract
Open-access reader
Jamie Juul
Abstract
Open-access reader
Given a map $\varphi:\mathbb{P}^1\rightarrow \mathbb{P}^1$ of degree greater than 1 defined over a number field $k$, one can define a map $\varphi_\mathfrak{p}:\mathbb{P}^1(\mathfrak{o}_k/\mathfrak{p})\rightarrow \mathbb{P}^1(\mathfrak{o}_k/\mathfrak
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Given a map $\varphi:\mathbb{P}^1\rightarrow \mathbb{P}^1$ of degree greater than 1 defined over a number field $k$, one can define a map $\varphi_\mathfrak{p}:\mathbb{P}^1(\mathfrak{o}_k/\mathfrak{p})\rightarrow \mathbb{P}^1(\mathfrak{o}_k/\mathfrak
Key concepts: Iterated function, Degree (music), Mathematics, Combinatorics, Field (mathematics), Galois group, Discrete mathematics, Physics