Prüfer p-Group

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The Prüfer -group for a prime number consists of all roots of unity of order , ; that is, . The group, named after the mathematician Heinz Prüfer, is also known as the quasicyclic -group. is an example of a countable -group that is not the direct sum of groups of rank 1. The radii of the circles or disks for each element on the group in the plot decrease with .

Contributed by: Enrique Zeleny (March 2015)
Open content licensed under CC BY-NC-SA


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References

[1] Wikipedia. "Prüfer Group." (Mar 5, 2015) en.wikipedia.org/wiki/Pr% C3 % BCfer_group.

[2] J. Baez, "Prüfer 2-Group," AMS Blogs: Visual Insight (blog). (Mar 5, 2015) blogs.ams.org/visualinsight/2014/09/15/prufer-2-group.



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