Struct/The cyclic group with five elements.

=Definition=

There is a unique group, up to isomorphism, with five elements. One example is the group $(\ZZ / 5 \ZZ, +)$ of residues, mod $5$, displayed below.

=Properties=


 * The group $\ZZ / 5 \ZZ$ is an abelian group.
 * It is a cyclic group, generated by $\bar 1$.