File:Z2^3; Lattice of subgroups Hasse diagram.svg

From Wikiversity
Jump to navigation Jump to search

Original file(SVG file, nominally 850 × 1,100 pixels, file size: 528 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

Hasse diagram of the lattice of subgroups of Z23

The red squares mark the elements of the subsets as they appear in the Cayley table displayed below.
There are Z23 itself, seven Z22, seven Z2 and the trivial group.

The gray numbers are the index numbers of Sloane'sA190939.

Subgroups
Corresponding elements of the Fano plane
Corresponding 3-ary Boolean functions
The Cayley table of Z23
The adjacency matrix of this Hasse diagram (with the pattern of a Walsh matrix in the top right corner)
 
This W3C-unspecified vector image was created with Inkscape .
 
W3C-validity not checked.

Published by Watchduck under the following licences:

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 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.
  • 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

File history

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

Date/TimeThumbnailDimensionsUserComment
current05:37, 24 July 2014Thumbnail for version as of 05:37, 24 July 2014850 × 1,100 (528 KB)Wereldburger758Removal grid from the code. Valid SVG now.
19:54, 7 January 2012Thumbnail for version as of 19:54, 7 January 2012850 × 1,100 (529 KB)WatchduckBack to offset 0: http://oeis.org/wiki/User:Tilman_Piesk/Lists_with_offset_0
14:52, 12 November 2011Thumbnail for version as of 14:52, 12 November 2011850 × 1,100 (531 KB)Watchduckchange offset to 1 as in OEIS A190939
18:23, 30 May 2010Thumbnail for version as of 18:23, 30 May 2010850 × 1,100 (529 KB)Mate2Code{{Information |Description=Hasse diagram, showing the same content like 100px |Source={{own}} |Date= |Author=Boolean Algebra |Permission= |other_versions= }} [[Category:3-ary Boolean functi

Global file usage

The following other wikis use this file:

Metadata