The nonzero elements of Z3[i] form an Abelian group of

Chapter 13, Problem 43E

(choose chapter or problem)

The nonzero elements of \(Z_3[i]\) form an Abelian group of order 8 under multiplication. Is it isomorphic to \(Z_{8}, Z_{4} \oplus Z_{2}, \text { or } Z_{2} \oplus Z_{2} \oplus Z_{2}\)?

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