Show that the group (Z_4 , _(+4)) is isomorphic to (<i> , *)

How to show that the group (Z4 , +4) is isomorphic to (<i> , *)?
It may surprise you that there are no universal notations for particular groups. Therefore, we do not know for certain what the two groups are. Are they finite or infinite? I will take a guess :
0<->1
1<-> i
2<-> -1
3<-> -i



 
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