The set {1, i, −i, −1} under multiplication forms a group, because it’s closed, associative, has identity (1), and each element has an inverse. Moreover, it’s cyclic since every element can be generated by successive powers of i: 𝑖1=𝑖, 𝑖2=−1, 𝑖3=−𝑖, 𝑖4= 1Therefore, it’s a cyclic (and also Abelian) group.
{1, i, -i, -1} is__________?
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