Transposition (group theory)

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Routine for first years, needed for some manifolds work.
  • Demote to grade D once more content is added

Definition

Let Sk denote the symmetric group on kN symbols. Then:

  • (ij) denotes (in ordinary cycle notation the permutation:
    • (ij):ij, (ij):ji and for all other m{1,,k} (so mi and mj) we have: (ij):mm

Such an (ij) is called a transposition.

See also

References