Four roots of unity form a finite abelian group with respect to multiplication.

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prajapatijaimin • 3.3k

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discrete structures and graph theory

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written 3.1 years ago by

prajapatijaimin • 3.3k

Solution:

Let four roots of unity be $G=\{1,-1, i,-i\}$.

The composition table of G is -

$ \begin{array}{|c|c|c|c|c|} \hline * & 1 & -1 & i & -i \\\\ \hline 1 & 1 & -1 & i & -i \\\\ \hline-1 & -1 & 1 & -i & i \\\\ …

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