名词
中文翻译：交换子群
同义词：
['commutative subgroup', 'commuting subgroup例句：1. In the contextof group theory', 'a commutatorsubgroup is a subgroup that commutes withevery element in its group.（在群论的背景下，一个交换子群是与它的群中每个元素都交换的子群。）']
例句：
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1. In the contextof group theory, a commutatorsubgroup is a subgroup that commutes withevery element in its group.
在群论的背景下，一个交换子群是与它的群中每个元素都交换的子群。
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2. This property is crucial for understanding thestructure and behavior of commutator subgroups in complex Lie groups.
这一性质对于理解复数李群中的交换子群的结构及其行为至关重要。
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3. The studyof commutator subgroups has led to important advances in the field of quantum mechanics.
对交换子群的研究在量子力学领域取得了重要的进展。