Jump to content

Norm group

From Wikipedia, the free encyclopedia

In number theory, a norm group is a group of the form where is a finite abelian extension of nonarchimedean local fields, and is the field norm. One of the main theorems in local class field theory states that the norm groups in are precisely the open subgroups of of finite index.

See also

[edit]

References

[edit]
  • J.S. Milne, Class field theory. Version 4.01.