名词
中文翻译:左陪集
同义词:
['left coset', 'left group', 'left family']
例句:
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1. In the study of group theory, a left coset is a set of elements that are all in the same conjugacy class but not necessarily in the same subgroup.
在群论研究中,左陪集是一个元素集合,这些元素都在相同的陪类中,但不一定在同一个子群。
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2. The left coset of the subgroup (A, B) under the group operation (a, b) is defined as the set ofall elements x such that (x, a) and (x, b) are conjugates.
在群操作下,(A, B)是(a, b)的陪组,定义为所有满足(x, a)和(x, b)是共轭的元素x的集合。
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3. The leftcoset of the subgroup (A, B) under the group operation (a, b) is also called the left coset of (A, B).
在群操作下,(A, B)是(A, B)的陪组,也称为(A, B)的左陪组。