1
$\begingroup$

Possible Duplicate:
Prove that every p-group is nilpotent.

How can I prove that groups with order a power of a prime are nilpotent?

  • 0
    The post this was linked to did not actually contain a proof (the argument proposed by the OP was flawed); I've added a correct proof, using the lower central series, to my answer there. Note, however, that there are many ways of defining "nilpotent" (upper central series, lower central series, and a few others); you'll want to specify exactly what is your definition or what conditions you know are equivalent to nilpotency for this question to make sense.2012-05-04

1 Answers 1

2

Here is a link for the proof: