Does it contain the identity element?Spoiler:
Does it contain inverses?Spoiler:
Hint:Now assume G= under addition and H= .
B. Show that P can't be onto. Which subgroups of are possible for L?Spoiler:
Why don't you think about this one for a little more.C. Find a specific example of some group homomorphism P from G to H which isn't the trivial map.