File:Z2^4; Lattice of subgroups Hasse diagram.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (SVG file, nominally 9,921 × 9,213 pixels, file size: 4.08 MB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
Description
Numbered equivalence classes

Hasse diagram of the lattice of 67 subgroups of 4-bit nimber addition,
compare File:Z2^4; subgroups list.svg

This is a nonstandard Hasse diagram because some elements are displayed below elements that actually have a lower rank.
However, when two elements are linked by an edge the element with lower rank is displayed below the element with higher rank.
The rank of each element is expressed by the background color.

The ranks 0,1,2,3,4 correspond to the orders 1,2,4,8,16 of the subgroups.
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions Adjacency matrix:

Licensing

[edit]
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.

File history

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

Date/TimeThumbnailDimensionsUserComment
current01:29, 19 January 2012Thumbnail for version as of 01:29, 19 January 20129,921 × 9,213 (4.08 MB)Watchduck (talk | contribs){{Information |Description=Hasse diagram of the lattice of 67 subgroups of 4-bit nimbers |Source={{own}} |Date= |Author= Lipedia |Permission= |other_versions= }} Category:Lattice of subgroups Category:Subgroups of nimber addition

You cannot overwrite this file.

File usage on other wikis

The following other wikis use this file:

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Z2%5E4;_Lattice_of_subgroups_Hasse_diagram.svg&oldid=922184153"