The cyclic group of order , where and are safe primes.

The protocol is defined for a cyclic group of order with generator .

Let now be a multiplicative group of order .

These are the cyclic groups of prime order.

A group of Third order lay brothers moved into the monastery grounds in 1465.

In mathematics, a group of small order, see list of small groups.

Cyclic groups of small order especially arise in various ways, for instance:

The theorem also shows that any group of prime order is cyclic and simple.

An example is , which classifies groups of order .

It is a group of finite order, which is equal to: