centralisers
Traditional Chinese_translation
data centraliser
Traditional Chinese_translation
system centraliser
Traditional Chinese_translation
centraliser software
Traditional Chinese_translation
centraliser element
Traditional Chinese_translation
centraliser function
Traditional Chinese_translation
centraliser mechanism
Traditional Chinese_translation
the centraliser of an element consists of all group elements that commute with it.
元素的中心化子包含所有與該元素可交換的群元素。
in group theory, the centraliser plays a crucial role in understanding group structure.
在群論中，中心化子在理解群結構方面起著至關重要的作用。
we can compute the centraliser by finding all elements that commute with a given element.
我們可以通過找出與給定元素可交換的所有元素來計算中心化子。
the centraliser of a subgroup is always a subgroup of the original group.
子群的中心化子始終是原群的子群。
elements of the centraliser satisfy the commutation relation with respect to the generating element.
中心化子的元素滿足與生成元素的交換關係。
the size of the centraliser relates to the conjugacy class size through a well-known formula.
中心化子的大小通過一個著名的公式與共軛類的大小相關。
for abelian groups, the centraliser of any element is the entire group.
對於阿貝爾群，任何元素的中心化子就是整個群。
the centraliser defines an equivalence relation on the group elements.
中心化子在群元素上定義了一種等價關係。
in some cases, the centraliser may be larger than the centre of the group.
在某些情況下，中心化子可能比群的中心更大。
mathematicians study how the centraliser changes under group homomorphisms.
數學家研究中心化子在群同態下的變化。
the centraliser of a set contains all elements commuting with every element in that set.
一個集合的中心化子包含與該集合中每個元素都可交換的所有元素。
understanding the centraliser helps classify groups by their conjugation properties.
理解中心化子有助於根據群的共軛性質對群進行分類。
centralisers
Traditional Chinese_translation
data centraliser
Traditional Chinese_translation
system centraliser
Traditional Chinese_translation
centraliser software
Traditional Chinese_translation
centraliser element
Traditional Chinese_translation
centraliser function
Traditional Chinese_translation
centraliser mechanism
Traditional Chinese_translation
the centraliser of an element consists of all group elements that commute with it.
元素的中心化子包含所有與該元素可交換的群元素。
in group theory, the centraliser plays a crucial role in understanding group structure.
在群論中，中心化子在理解群結構方面起著至關重要的作用。
we can compute the centraliser by finding all elements that commute with a given element.
我們可以通過找出與給定元素可交換的所有元素來計算中心化子。
the centraliser of a subgroup is always a subgroup of the original group.
子群的中心化子始終是原群的子群。
elements of the centraliser satisfy the commutation relation with respect to the generating element.
中心化子的元素滿足與生成元素的交換關係。
the size of the centraliser relates to the conjugacy class size through a well-known formula.
中心化子的大小通過一個著名的公式與共軛類的大小相關。
for abelian groups, the centraliser of any element is the entire group.
對於阿貝爾群，任何元素的中心化子就是整個群。
the centraliser defines an equivalence relation on the group elements.
中心化子在群元素上定義了一種等價關係。
in some cases, the centraliser may be larger than the centre of the group.
在某些情況下，中心化子可能比群的中心更大。
mathematicians study how the centraliser changes under group homomorphisms.
數學家研究中心化子在群同態下的變化。
the centraliser of a set contains all elements commuting with every element in that set.
一個集合的中心化子包含與該集合中每個元素都可交換的所有元素。
understanding the centraliser helps classify groups by their conjugation properties.
理解中心化子有助於根據群的共軛性質對群進行分類。
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