http://unapologetic.wordpress.com/2007/02/10/group-homomorphisms/

The author does a superb job, particular when using a permutation domain to a binary domain in the first example.

The three tenets are clearly motivated: that the closure notion is sustained between G the group and H the subgroup even when the group operators are distinct as in f3; that the set types of G and H may or may not be the same; and then epi-/mono-/iso-morphism build up much like sur-/inj-/bi-jection build up.

As I remember, we get a quick lesson on it when I was 13/14. I can remember the room now. We were our (new) math teachers first ever class (and he actually took all the way through to 18).

Itâ€™s just so clearly laid out in this article, without the faffy stuff from textbooks or research papers.

I think Il summarize when he captured about ideals, kernels, and co-kernels too. Once one thinks of H in terms of parity matrices for dual spaces. ..and then sum-product algorithms and conditional probabilities for inference, it all becomes rather more interesting!

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