Math and science::Algebra::Aluffi

# Isomorphisms of cyclic group products

### Isomorphisms to a product of cyclic groups

If $$n$$ and $$m$$ are positive integers with [what condition?],
then $$\cat{C_{nm}} \cong \cat{C_n} \cat{C_m}$$.

Proof on back side.

The proposition refers to cyclic groups, defined below:

#### Cyclic group

A group is cyclic iff [what?] or [what?].