Assume the following are isomorphic: Prove |G| = |H| Prove "phi"(eG) = eH. Prove "phi"(a^n) = ("phi"(a))^n.
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Let be an isomophism between G and H. is a bijection, what does that tell you about |G| and |H|? What does this tell you about ? Can you induct on a similar expression that I've used above?
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