Answer by Marcus M for Understanding the Inertia Group in Ramification Theory
Let $\mathfrak{q}$ be a prime of $\mathcal{O}_L$ lying over $\mathfrak{p}$, a prime in $\mathcal{O}_K$.Let $E$ be the inertial group, i.e. $$ E = \{\sigma \in G : \sigma (\alpha) \equiv \alpha \mod...
View ArticleUnderstanding the Inertia Group in Ramification Theory
I am a beginner student of Algebraic Number Theory and I am starting to learn ramification theory (of global fields). My question asks for motivation for a definition I was given.Let $K$ be an...
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