Even permutation

Japanese: 偶置換 - ぐうちかん(英語表記)even permutation
Even permutation
A permutation obtained as the product of an even number of permutations. For example,
are even permutations. The set of permutations of n numbers 1, 2, 3, ..., n contains n !/2 even permutations. For example, in the permutation of the three numbers 1, 2, and 3, the even permutations are 123, 231, and 312, when the original sequence is 123.

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

Japanese:
偶数個の互換の積として得られる置換をいう。たとえば,
などは偶置換である。 n 個の数字 1,2,3,…,n の置換の全体は n!/2 個の偶置換を含んでいる。たとえば,3個の数1,2,3の置換では,偶置換はもとの列を 123とするとき 123,231,312の3個である。

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