(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that there is no homomorphism from A(4) onto a group of order 2, 4 or 6, but that there is one onto a group of order 3.

2. Relevant equations

I have a feeling that I'm to use the First Isomorphism theorem

3. The attempt at a solution

I've been puzzling over this for quite some time, but I'm not really sure how to go about it. It seems that it might have something to do with the fact that the first group all have orders divisible by 2 whereas the latter has odd order, but I'm not even sure that's the correct approach. Any hints or suggestions would be appreciated.

Cheers,

W. =)

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# A homomorphism problem

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