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单词 Nilpotent Lie group
释义

Nilpotent Lie group

中文百科

幂零群 Nilpotent group

(重定向自Nilpotent Lie group)

在群论里,幂零群为一拥有几乎可换之特殊性质的群,经由交换子([x,y] = xyxy)的重复应用。幂零群诞生于伽罗瓦理论和对群的分类之中。其对李群的分类亦具有很重要的功用。

英语百科

Nilpotent group 幂零群

(重定向自Nilpotent Lie group)
A portion of the Cayley graph of the discrete Heisenberg group, a well-known nilpotent group.

In group theory, a nilpotent group is a group that is "almost abelian". This idea is motivated by the fact that nilpotent groups are solvable, and for finite nilpotent groups, two elements having relatively prime orders must commute. It is also true that finite nilpotent groups are supersolvable.

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更新时间:2025/6/20 5:57:12