(a) Show that the set of complex numbers 1, i,-1, and -i form a group of...

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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. 92 93 94 95 96 9s 92 94 92 g4 96 92 91 96 95 94 96 96 94 92 91 95 92 91 9e 94 9s 92 (c) Every subgroup of a cyclic group is cyclic. (d) Any two cyclic groups of same order are isomorphic. (o) Erplain C (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. 92 93 94 95 96 9s 92 94 92 g4 96 92 91 96 95 94 96 96 94 92 91 95 92 91 9e 94 9s 92 (c) Every subgroup of a cyclic group is cyclic. (d) Any two cyclic groups of same order are isomorphic. (o) Erplain C