- #1
kathrynag
- 598
- 0
Homework Statement
For groups G1 and G2, let p1 : G1 × G2 → G1 be defined by p1((g1, g2)) = g1 and let
p2 : G1 × G2 → G2 be defined by p2((g1, g2)) = g2. Show that p1 and p2 are group
homomorphisms and determine the kernel and image of each.
Homework Equations
The Attempt at a Solution
I need to show p1(a,b)p1(c,d)=p1(ab,cd)
=ac?