Uintell Mathematics Encyclopedia

The least common multiple of the orders of the elements in the group (it is assumed that the group is periodic and that the set of orders of all its elements is bounded). The period of a group is also called the exponent of the group.

Comments

The order of an element $x$ of a group $G$ is the least positive integer $n$ such that $x^n=e$ (where $e$ is the indentity of $G$).

Cf. also Periodic group.