Cyclic group:Z40

Definition
This group, denoted $$C_{40}$$, $$\mathbb{Z}_{40}$$, or $$\mathbb{Z}/40\mathbb{Z}$$, is defined in the following equivalent ways:


 * It is the unique (up to isomorphism) cyclic group of order 40, i.e., it is a group of integers modulo n where $$n = 40$$.
 * It is the external direct product of defining ingredient::cyclic group:Z8 and defining ingredient::cyclic group:Z5, i.e., is it $$\mathbb{Z}_8 \times \mathbb{Z}_5$$.