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{1, i, -i, -1} is __________(a) semigroup(b) subgroup(c) cyclic group(d) abelian groupI had been asked this question during an interview for a job.This key question is from Group Theory in section Groups of Discrete Mathematics |
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Answer» CORRECT option is (c) cyclic group For 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. |
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