Wikiversity

File:SL(2,3); Cayley table.svg

Original file (SVG file, nominally 744 × 744 pixels, file size: 289 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
Quaternion subgroup

Cayley table of the special linear group SL(2,3)

The elements of F3 are represented by:

  • empty circle: 0
  • green dot: 1
  • red dot: 2          (as 2 = -1 in F3, these are (-1,0,1)-matrices)
Cycle graph of SL(2,3)

The background color tells the order of an element:

  • dark gray: 1
  • light gray: 2
  • blue: 4
  • yellow: 3
  • white: 6

See also: http://escarbille.free.fr/group/?g=sl23

The dual matrix
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
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.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported 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.
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

media type

image/svg+xml

File history

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

Date/TimeThumbnailDimensionsUserComment
current01:46, 10 April 2011Thumbnail for version as of 01:46, 10 April 2011744 × 744 (289 KB)Watchduck{{Information |Description=Cayley tableof the special linear group SL(2,3) The elements of F<sub>3</sub> by: * empty circle: 0 * green dot: 1 * red dot: 2 = -1 The background color tells t

The following page uses this file:

Global file usage

The following other wikis use this file:

Retrieved from "https://en.wikiversity.org/wiki/File:SL(2,3);_Cayley_table.svg"