The nonzero elements of $\displaystyle Z_{3}[i]$ form an Abelian group of order 8 under multiplication. Is it isomorphic to $\displaystyle Z_{8}, Z_{4} \oplus Z_{2}, Z_{2} \oplus Z_{2} \oplus Z_{2}$?

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- Nov 8th 2007, 05:57 PMtttcomraderIsomorphic problem
The nonzero elements of $\displaystyle Z_{3}[i]$ form an Abelian group of order 8 under multiplication. Is it isomorphic to $\displaystyle Z_{8}, Z_{4} \oplus Z_{2}, Z_{2} \oplus Z_{2} \oplus Z_{2}$?

- Nov 8th 2007, 06:27 PMThePerfectHacker