7
Local class field theory
III Local Fields
7
Lo
cal
class
field
theory
Lo
cal
class
field
theory
is
the
study
of
ab
elian
extensions
of
lo
cal
fields,
i.e.
a
Galois
extension
whose
Galois
group
is
ab
elian.
Contents
7.1 Infinite Galois theory
7.2 Unramified extensions and Weil group
7.3 Main theorems of local class field theory
< 6.2
Table of Contents
7.1 >