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        "quote": "如果$X$是一个势为$n$的有限集，那么$X$的变换称为$X$元素的<u id=\"concept-2-permutation\" class=\"concept-term\" data-concept-identity=\"urn:uuid:26cfbcfb-a481-41ee-a74f-cd41f06ecb0f\" data-concept-route=\"/concept-identities#concept-26cfbcfb-a481-41ee-a74f-cd41f06ecb0f\">置换(permutation)</u>。$X=\\{1,2,\\dots,n\\}$的排列群称为阶数为$n$的<u id=\"concept-2-symmetric-group\" class=\"concept-term\" data-concept-identity=\"urn:uuid:013665e1-3304-480f-81d6-f8f99a56381e\" data-concept-route=\"/concept-identities#concept-013665e1-3304-480f-81d6-f8f99a56381e\">对称群(symmetric group)</u>，记为$S_n$。$S_n$ 的任何子群都称为<u id=\"concept-2-permutation-group\" class=\"concept-term\" data-concept-identity=\"urn:uuid:d8b640a2-2675-4f90-bc60-7149b8de3db9\" data-concept-route=\"/concept-identities#concept-d8b640a2-2675-4f90-bc60-7149b8de3db9\">置换群(permutation group)</u>。$n$元素上的一个置换 $\\pi$ 可以用置换符号来表示",
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        "quote": "- 取 $G=S_3$，即<span id=\"concept-1-permutation-group\" class=\"block-anchor\"></span><u class=\"concept-term\" data-concept-id=\"concept-1-permutation-group\" data-concept-role=\"discussion\" data-concept-identity=\"urn:uuid:d8b640a2-2675-4f90-bc60-7149b8de3db9\" data-concept-route=\"/concept-identities#concept-d8b640a2-2675-4f90-bc60-7149b8de3db9\" id=\"first-b147d601c68ff7c731a3-zh\">置换群(permutation group)</u>；它有 $3!=6$ 个元素。",
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