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## normal subgroup

• [数] 正规子群；不变子群

### 网络释义专业释义英英释义

[数] 正规子群

1.3 同态基本定理 • 正规子群normal subgroup）：设G是群，H是子群，称H是G的正规子群，记为H  G， 若对任意a ∈ G，均有aH = Ha。

minimal normal subgroup [数] 最小正规子群

non-normal subgroup 非正规子群

allowabe normal subgroup 容许正规子群

s-normal subgroup s正规子群

closed normal subgroup [数] 闭正规子群

allowable normal subgroup 可许正规子群 ; [数] 容许正规子群

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• 正规子群 - 引用次数：48

参考来源 - 粗子群与粗子环及模糊粗糙子群与模糊粗糙子环
正则子群
• 正常子群
• 正常子群
正规子群

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#### Normal subgroup

• abstract: In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup H of a group G is normal in G if and only if gH = Hg for all g in G (see coset).

### 双语例句

• Unascertained normal subgroup is also studied.

并且研究了未确知正规子群

• Especially, people pay much attention to those normal subgroup.

这些中，人们特别关注那些正规的同余子群。

• In Chapter 3, we investigate how the number of conjugacy classes outside a normal subgroup of a finite group influences its structure.

第三主要研究有限正规共轭个数对群结构影响

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