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(a) Show that the set of complex numbers 1, i,-1, and -i form a group of order four under multiplication. (b) Show that the Latin

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(a) Show that the set of complex numbers 1, i,-1, and -i form a group of order four under multiplication. (b) Show that the Latin Square is not the multiplication table of a group. 03 92 94 94 E (c) Every subgroup of a cyclic group is cyclic. (d) Any two cyclic groups of same order are isomorphic

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