Odd permutation

Japanese: 奇置換 - きちかん(英語表記)odd permutation
Odd permutation
A permutation obtained as the product of an odd number of permutations. For example,
are odd permutations. The set of permutations of n numbers 1, 2, 3, …, n contains n !/2 odd permutations. For example, in the permutation of the three numbers 1, 2, 3, the odd permutations are the three numbers 213, 132, 321, when the first is standardized to 123.

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:
奇数個の互換の積として得られる置換をいう。たとえば,
などは奇置換である。 n 個の数字 1,2,3,…,n の置換の全体は n!/2 個の奇置換を含んでいる。たとえば,3個の数1,2,3の置換では奇置換は最初を 123と標準化したとき,213,132,321で表わされる3個である。

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