Consider the set $S = {1, - 1, i, - i}$ of fourth roots of unity. Construct the composition table for multiplication on $S$ and deduce its various properties.

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Consider the set

S = {1, - 1, i, - i}

of fourth roots of unity. Construct the composition table for multiplication on

S

and deduce its various properties.

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Question Text

Consider the set

S = {1, - 1, i, - i}

of fourth roots of unity. Construct the composition table for multiplication on

S

and deduce its various properties.

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