File:Symmetric group 4; permutohedra; transposition edges.svg

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The edges in the permutohedron of the symmetric group S4 correspond to transpositions.

When two permutations are linked by a highlighted edge, representing one of six transpositions, this transposition turns one permutation into the other and vice versa.

E.g. in the top permutohedron the permutations p3 and p5 are linked by a highlighted edge, representing transposition p2. (enlarge) So p3*p2=p5 and p5*p2=p3.

See Cayley table:
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Watchduck
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Date/TimeThumbnailDimensionsUserComment
current23:18, 2 March 2011Thumbnail for version as of 23:18, 2 March 2011744 × 1,028 (844 KB)Watchduck (talk | contribs)backwards notation (transposed matrix)
20:21, 25 August 2010Thumbnail for version as of 20:21, 25 August 2010744 × 1,028 (995 KB)Watchduck (talk | contribs)

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