Prüfer p-Group

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 .

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

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.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.