- #1
PsychonautQQ
- 784
- 10
Homework Statement
If K is normal in G and |g| = n for some g in G, show that the order of Kg in G/K divides n.
Homework Equations
None
The Attempt at a Solution
Okay so I feel like I have a solution but I don't use all the information given so I'm trying to find holes in it...
g^n = 1
K = Kg^n = (Kg)^n. So it seems If we take Kg to the nth power we get it's identity. This means that the order of Kg must divide n.
What am I missing here?