Multiplicative Group of Reduced Residues/Examples/Modulo 5

Definition
Consider the reduced residue system $\Z'_5$ modulo $5$ under modulo multiplication:
 * $\Z'_5 = \left\{ {\left[\!\left[{1}\right]\!\right]_5, \left[\!\left[{2}\right]\!\right]_5, \left[\!\left[{3}\right]\!\right]_5, \left[\!\left[{4}\right]\!\right]_5}\right\}$

$\left({\Z'_5, \times_5}\right)$ is the multiplicative group of reduced residues modulo 5.

Also see

 * Reduced Residues Modulo 5 under Multiplication form Group