Multiplicative Group of Reduced Residues/Examples/Modulo 8

Definition
Consider the reduced residue system $\Z'_8$ modulo $8$ under modulo multiplication:
 * $\Z'_8 = \left\{ {\left[\!\left[{1}\right]\!\right]_8, \left[\!\left[{3}\right]\!\right]_8, \left[\!\left[{5}\right]\!\right]_8, \left[\!\left[{7}\right]\!\right]_8}\right\}$

$\left({\Z'_8, \times_8}\right)$ is the multiplicative group of reduced residues modulo 8.

Also see

 * Reduced Residues Modulo 8 under Multiplication form Group