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Symmetric Group |
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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. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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