Group of Gaussian Integer Units/Cayley Table

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Cayley Table for Group of Gaussian Integer Units

The group of Gaussian integer units:

$\struct {U_\C, \times}$

can be described completely by showing its Cayley table:

$\begin{array}{r|rrrr} \times & 1 & i & -1 & -i \\ \hline 1 & 1 & i & -1 & -i \\ i & i & -1 & -i & 1 \\ -1 & -1 & -i & 1 & i \\ -i & -i & 1 & i & -1 \\ \end{array}$


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