Last problem I can't figure out. Find all the homomorphic images of the following groups, D4 and Q. I would really really appreciate any help. Thanks in advance.
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The homomorphic image of must be a subgroup of Q. Those all the possible homomorphic images are subgroups of Q. Thus, You can also look heir.
So those are the homomorphic images of D4? What's Q then?
Originally Posted by nanotek887 So those are the homomorphic images of D4? Yes, any homomorphic image must be one of those. What's Q then? That is the Octions, They are a subgroup of the multiplicative group of the Quaternions.
But are the homomorphic images of Q the subgroups of anything else like the one before?
Similarly the homomorphic images of Q are the subgroups of D4
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