Category:Group of Gaussian Integer Units

This category contains results about Group of Gaussian Integer Units.

Let $i$ be the imaginary unit: $i = \sqrt {-1}$.

Let $U_\C$ be the set of complex numbers defined as:

$U_\C = \set {1, i, -1, -i}$

Let $\times$ denote the operation of complex multiplication.

The algebraic structure $\struct {U_\C, \times}$ is the group of units of the ring of Gaussian integers.