- #1
Locoism
- 81
- 0
Homework Statement
Let ψ: G→H be a homomorphism and let g ε G have finite order.
a) Show that the order of ψ(g) divides the order of g
The Attempt at a Solution
I'm really lost here, but I'm guessing we can use the fact |ψ(g)| = {e,g...,g|g|-1}
and ψ(g|g|-1) = ψ(g)ψ(g)ψ(g)ψ(g)ψ(g)... (|g|-1 times)
I still have no idea where to start.