Symmetric-group meaning

A group consisting of all possible permutations of a given number of items.
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(mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.
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Sentence Examples

  • This defines a natural homomorphism of C into the symmetric group of degree n.

  • stabilizer calculation in the symmetric group given by the degree component.

  • This can be done (albeit not very effectively) by a stabilizer calculation in the symmetric group given by the degree component.

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Words near symmetric-group in the Dictionary