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单词 Complete group
释义

Complete group

原声例句
高级每日语法(音频版)

Finally, a " round" is how many times you complete a group of circuit exercises.

最后,“一轮”是指你完成一组循环训练的次数。

美国小学英语6

It took Akeley four years to complete these groups, for as he went along he had to work out his method of constructing manikins and of making such background materials as artificial snow, moss, and leaves.

阿克利花了四年时间才完成这些作品,在制作过程中,他必须想出制作模型和制作人工雪,人工苔藓以及人工树叶等背景材料。

中文百科

完备群

在数学的群论中,完备群(又称完全群,不过完全群也可以指另一种群)是指如下的一种群GG是无中心群,并且G的所有自同构都是内自同构,也就是说G有平凡外自同构群和平凡中心。另一等价定义是将元素g\in G映射到自同构x\mapsto gxg^{-1}的群同态G\to \operatorname{Aut}(G)是群同构。因为此群同态的核是G的中心,而其像是G的所有内自同构;所以G有平凡中心,则此群同态是单射,而所有自同构都是内自同构,则此群同态是满射。

英语百科

Complete group 完备群

In mathematics, a group G is said to be complete if every automorphism of G is inner, and it is centerless; that is, it has a trivial outer automorphism group and trivial center.

Equivalently, a group is complete if the conjugation map, G → Aut(G) (sending an element g to conjugation by g), is an isomorphism: injectivity implies the group is centerless, as no inner automorphisms are the identity, while surjectivity implies it has no outer automorphisms.

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更新时间:2025/6/23 5:56:34