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词条 Norm group
释义

  1. See also

  2. References

In number theory, a norm group is a group of the form where is a finite abelian extension of nonarchimedean local fields. 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

  • Takagi existence theorem

References

  • J.S. Milne, Class field theory. Version 4.01.
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1 : Algebraic number theory

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