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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 2nd 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexsome minimum, for completeness of the list at _[[D4]]_ <a href="https://ncatlab.org/nlab/revision/Klein+four-group/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Klein+four-group">current</a>

   some minimum, for completeness of the list at D4

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 18th 2019
   • (edited Feb 18th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded statement of some trivialities, just for completeness: > Besides the [[cyclic group]] $\mathbb{Z}/4$ of [[order of a group|order]] 4, the Klein group $\mathbb{Z}/2 \times \mathbb{Z}/2$ is the only other [[group]] of [[order]] 4, up to [[isomorphism]]. > In particular the Klein group is _not_ itself a [[cyclic group]], and it is in fact the smallest non-[[trivial group|trivial]] [[group]] which is not a [[cyclic group]]. <a href="https://ncatlab.org/nlab/revision/diff/Klein+four-group/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Klein+four-group/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Klein+four-group">current</a>

   added statement of some trivialities, just for completeness:

   Besides the cyclic group $\mathbb{Z}/4$ of order 4, the Klein group $\mathbb{Z}/2 \times \mathbb{Z}/2$ is the only other group of order 4, up to isomorphism.

   In particular the Klein group is not itself a cyclic group, and it is in fact the smallest non-trivial group which is not a cyclic group.

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 24th 2020
   • (edited Oct 24th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded cross-link with _[[fundamental theorem of finitely generated abelian groups]]_ <a href="https://ncatlab.org/nlab/revision/diff/Klein+four-group/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Klein+four-group/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Klein+four-group">current</a>

   added cross-link with fundamental theorem of finitely generated abelian groups

   diff, v4, current