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Norm group

In number theory, a norm group is a group of the form N L / K ( L × ) {\displaystyle N_{L/K}(L^{\times })} where L / K {\displaystyle L/K} is a finite abelian extension of nonarchimedean local fields, and N L / K {\displaystyle N_{L/K}} is the field norm. One of the main theorems in local class field theory states that the norm groups in K ×…

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Norm group

Nodes8
Edges7
Triples1
Avg. degree1.75
Density0.25
Components1

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Norm group

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is a · 1
Norm group → group of the form N L / K

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theory field norm displaystyle times finite local class index number group form abelian extension nonarchimedean fields one main theorems states

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SubjectPredicateObjectConfidenceSrc
Norm groupis agroup of the form N L / K0.90text

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