Question: define operation preserving and prove that your assigned function is operation preserving. Let Z_37 be a group under modular addition and G be a group

define operation preserving and prove that your assigned function is operation preserving. Let Z_37 be a group under modular addition and G be a group of 37th roots of unity under complex multiplication. Show that the following function is an operation preserving function: f([x_37 ])=e^(2ix/37), where x is an integer ranging from 0 to 36

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