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

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- May 10th 2009, 12:02 PMo&apartyrockHomomorphic images of Z15.
What are all the homomorphic images of Z15 (up to isomorphism)?

- May 10th 2009, 12:16 PMNonCommAlg
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 $\displaystyle G=\mathbb{Z}/15 \mathbb{Z}$ is abelian. so K is any subgroup of G. find the subgroups of G and then

see what G/K are! the final answer is:

__Spoiler__: