Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Classification of p-groups

  1. Nov 21, 2011 #1


    User Avatar
    Gold Member

    I am working on classifying all groups of order less than or equal to 100. For most orders, this is fairly straightforward, since we can just utilize Cauchy's Theorem/Sylow's Theorems to show that the group can be expressed as a semi-direct product and then find the desired automorphism.

    However, for p-groups the same procedure doesn't really work. In particular, I need to tackle the following two cases:
    • Classify all groups of order p4 where p is a prime.
    • Classify all groups of order 2k where 5 ≤ k ≤ 6.
    If anyone has any sources on these problems or knows how to tackle one them, the help is appreciated.

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted