# Subgroup proof

Not what you're looking for? Search our solutions OR ask your own Custom question.

Prove: any subgroup of the order of p^(n-1) in a group of order p^n, where p is a prime, is a normal subgroup

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:26 pm ad1c9bdddfhttps://brainmass.com/math/discrete-math/subgroup-proof-21828

#### Solution Preview

Proof: Suppose G is a group with order |G|=p^n. H is a subgroup of G with order |H|=p^(n-1). p is a prime. Now we show that H is a normal subgroup.

We consider N(H)={x|x ...

#### Solution Summary

This is a proof regarding normal groups

$2.49