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File:Symmetric group 3; Cayley table; matrices.svg

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Summary

Description
the same matrices shown in the permutohedron of S3
the same matrices shown in the cycle graph of S3

Cayley table of the 6 permutations of 3 elements, represented by matrices

There is also:
left action
last ⋅ first
This is:
right action
first ⋅ last
Positions of the matrices 0 ... 5 in the Cayley table
(These matrices form the same group.)
This SVG was created with Inkscape.
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions For left action see: File:Symmetric group 3; Cayley table; matrices (left).svg

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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Date/TimeThumbnailDimensionsUserComment
current19:50, 11 May 2017Thumbnail for version as of 19:50, 11 May 20172,197 × 2,197 (129 KB)Watchduckactive right matrices
18:47, 19 November 2011Thumbnail for version as of 18:47, 19 November 20111,986 × 2,012 (65 KB)Watchducklayout
11:35, 28 February 2011Thumbnail for version as of 11:35, 28 February 20112,296 × 2,295 (337 KB)Watchduckbackwards notation
20:40, 26 February 2011Thumbnail for version as of 20:40, 26 February 20112,296 × 2,295 (478 KB)Watchduckincluding permuted row vectors
12:11, 15 March 2010Thumbnail for version as of 12:11, 15 March 20102,246 × 2,271 (438 KB)Watchduck{{Information |Description=All 3! = 6 matrices, describing permutations of 3 elements. The binary permutation matrices can be seen as adjacency matrices of dire

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