HAPPY PI DAY!!! So the way I understand it, an isomorphism of groups is an automorphism but it has all the properties of a isomorphism of rings but instead of multiplication and addition, only the group operation has to be conserved. A homomorphism of groups of permutations is called a representation. SO far it all seems to be making sense. The only hang up is the symbol for isomorphism/automorphism. The only way to tell if it is representing an isomorphism or an automorphism. I guess that that will have to be specified in the context of the theorem or problem which makes sense.
Oh and have a great time in Italy!
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