Given that ϕ is a isomorphism from a group G under addition to a group G under addition, convert property 2 of Theorem 6.2 to additive notation.
Question
Solution 1
Theorem 6.2 Property 2 in multiplicative notation states that for all a, b in G, ϕ(ab) = ϕ(a)ϕ(b).
To convert this to additive notation, we replace the multiplication operation with addition and the exponentiation operation with multiplication. Therefore, the property in additive notation becomes:
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