Explore BrainMass
Share

Counting Principle: Permutation Groups

Modern Algebra
Group Theory (CVIII)
Permutation Groups
Another Counting Principle

Using the theorem ' If O(G) = p^n , where p is a prime number, then Z(G) ≠ (e) ' as a tool, prove that
if O(G) = p^n where p is a prime number, then G has a subgroup of order p^&#945; for all 0 < &#945; &#8804; n .

© BrainMass Inc. brainmass.com June 23, 2018, 3:57 pm ad1c9bdddf

Attachments

Solution Summary

This is a group theory proof regarding permutations and counting.

$2.19