Group theory

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{1, i, -i, -1} is _____
a) semigroup
b) subgroup
c) cyclic group
d) abelian group

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Sashadhar Dutta

Answer: c
Explanation: The set of complex numbers {1, i, -i, -1} under multiplication operation is a cyclic group. Two generators i and -i will covers all the elements of this group. Hence, it is a cyclic group