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单词 Alternating group
释义

Alternating group

原声例句
休伯曼实验室

The continuous feeding group lost less lean mass than the alternate fasting group.

持续喂食组的瘦体重损失比交替禁食组少。

中文百科

交错群

数学中,交错群alternating group)是一个有限集合偶置换之群。集合 {1,...,n} 上的交错群称为 n 阶交错群,或 n 个字母上的交错群,记做 An 或 Alt(n)。

例如,4 阶交错群是 A4 = {e, (123), (132), (124), (142), (134), (143), (234), (243), (12)(34), (13)(24), (14)(23)} (参见轮换记法 cycle notation)。

英语百科

Alternating group 交错群

Cayley table of the symmetric group S4The odd permutations are colored:Transpositions in green and 4-cycles in orange
Cayley table of the alternating group A4Elements: The even permutations (the identity, eight 3-cycles and three double-transpositions (double transpositions in boldface))Subgroups:

In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on a set of n elements is called the alternating group of degree n, or the alternating group on n letters and denoted by An or Alt(n).

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更新时间:2025/6/18 11:13:57