a.) If we have an epimorphism from G to G’, then we know G must be the same or of bigger order than G’. (Can you explain why?) b.) If G and G’ are of the same order, it’s pretty easy to get the...

a.) If we have an epimorphism from G to G’, then we know G must be the same or of bigger order than G’. (Can you explain why?)

b.) If G and G’ are of the same order, it’s pretty easy to get the isomorphism. (Again, can you explain why?)

c.) If the order of G is larger than the order of G’ AND the operation is maintained by this mapping, where do all of the “extra” elements in G have to be mapping?