I'm trying to learn about groups/rings and the concept of isomorphisms appears everywhere. I understand that an isomorphism between groups/rings shows that arithmetic in both structures is essentially the same, but I don't understand how this can be applied to deduce anything about them. If someone could give an example or explain how isomorphisms can be used to answer a question I'd greatly appreciate it.
2026-03-25 20:42:14.1774471334
What's the point of studying isomorphisms?
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