Norm group

In number theory, a norm group is a group of the form $N_{L/K}(L^\times)$ where $L/K$ 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 $K^\times$ are precisely the open subgroups of $K^\times$ of ﬁnite index.

单词	Norm group
释义	Norm group 原声例句经济学人 Culture Dissent is suddenly seen as betrayal: hence the fury unleashed on anybody who violates the group's unwritten and shifting norms. 异议突然被视为背叛：因此，任何违反该组织不成文且不断变化的规范的人都会受到愤怒的打击。英语百科 Norm group In number theory, a norm group is a group of the form $N_{L/K}(L^\times)$ where $L/K$ 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 $K^\times$ are precisely the open subgroups of $K^\times$ of ﬁnite index.
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