英语词汇“symmetric group”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

单词	symmetric group
释义	symmetric group symmetric group n. A group consisting of all possible permutations of a given number of items. Symmetric Group symmetric group [sə′me·trik ′grüp] (mathematics) The group consisting of all permutations of a finite set of symbols. Symmetric Group A symmetric group of order n is a group consisting of all possible permutations of n objects. Such a group has n! elements. The permutations of n objects with an even number of inversions form an alternating subgroup of the symmetric group; this alternating subgroup has n!/2 elements.
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symmetric group