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

From Wikiversity
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 2,197 × 2,197 pixels, file size: 129 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.

Commons is a freely licensed media file repository. You can help.

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

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

MIME type

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

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

No pages embed this file. However pages may still include links to this file.

Global file usage

The following other wikis use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikiversity.org/wiki/File:Symmetric_group_3;_Cayley_table;_matrices.svg"