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

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Summary

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

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.
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Date/TimeThumbnailDimensionsUserComment
current01:29, 19 January 2012Thumbnail for version as of 01:29, 19 January 20129,921 × 9,213 (4.08 MB)Watchduck{{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

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