Math 2.0

concept

Symmetric group

Summary

The symmetric group on a set XX is the group of all bijections from XX to XX, with composition as the operation. For X={1,…,n}X = \{1, \dots, n\} it is written SnS_n, and its elements are the permutations of nn symbols.

What this node needs for W2
  • edge instance_of in: at least two examples (1 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/Symmetric_group, lead section

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