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- Ramification in cyclotomic fields - Mathematics Stack Exchange
Ramification in cyclotomic fields Ask Question Asked 3 years, 6 months ago Modified 3 years, 6 months ago
- Understanding Ramification Points - Mathematics Stack Exchange
I really don't understand how to calculate ramification points for a general map between Riemann Surfaces If anyone has a good explanation of this, would they be prepared to share it? Disclaimer:
- algebraic number theory - Ramification in a tower of extensions . . .
Their ramification degrees in $\mathbb {Q} (\sqrt {-5},\sqrt {-1}) \mathbb {Q}$ is at most 2 and both ramify in $\mathbb {Q} (\sqrt {-5}) \mathbb {Q}$ This means that nothing can ramify in $\mathbb {Q} (\sqrt {-5},\sqrt {-1}) \mathbb {Q} (\sqrt {-5})$
- Motivation for considering the upper numbering of ramification groups
3 The short answer is that lower ramification groups behave well when taking subgroups, while upper ramification groups behave well when taking quotients As a result, the upper numbering can be defined for infinite extensions I think this is the key motivation for defining them
- Understanding the Inertia Group in Ramification Theory
Yes And i know about the fundamental identity But I don't know exactly how is the inertial degree related to the inertia group, even though I can imagine it being the galois group of the extension of residue fields or something like this
- Ramification of primes - Mathematics Stack Exchange
Ramification of primes Ask Question Asked 13 years, 5 months ago Modified 13 years, 5 months ago
- Higher ramification groups - Mathematics Stack Exchange
I was wondering if someone could explain what higher ramification groups are used for? What information do they contain and why are they important?
- Higher ramification groups of $\mathbb {Q}_p (\zeta_ {p^a})$
Knowing what the result must look like, it is easy to prove propos 18 by a direct computation starting from the definition of the ramification indices (in the lower indexation) - you may consider this as the missing details in @Cam McLeman
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