Math 2.0

Group theory and generalizations Group actions and permutation groups Concept

Sign of a permutation

Summary

The sign of a permutation is +1+1 or −1-1, according to the parity of the number of transpositions in a decomposition of the permutation. The sign map is a homomorphism from SnS_n to {1,−1}\{1, -1\}.

Where this leads

6 pages build on this one.

Further reading

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