result in local class field theory
C24994
concept
The "result" in local class field theory refers to the fundamental correspondence that classifies finite abelian extensions of a local field in terms of open subgroups of finite index in its multiplicative group (or, equivalently, its Galois group via the local reciprocity map).
Observed surface forms (2)
- result in class field theory ×2
- tool in local class field theory ×1
Instances (4)
- Hasse–Arf theorem
- Artin reciprocity law via concept surface "result in class field theory"
- Furtwängler’s theorem in class field theory via concept surface "result in class field theory"
- Herbrand function via concept surface "tool in local class field theory"