What are all the homomorphic images of Z15 (up to isomorphism)?

May 10th 2009, 12:16 PM

NonCommAlg

Quote:

Originally Posted by o&apartyrock

What are all the homomorphic images of Z15 (up to isomorphism)?

a homomorphic image of a group G is a group in the form G/K, where K is a normal subgroup of G. in your case is abelian. so K is any subgroup of G. find the subgroups of G and then