# Exponent of a group

From Encyclopedia of Mathematics

The smallest positive integer $n$ such that in the given group the identity $x^n=1$ holds.

**How to Cite This Entry:**

Exponent of a group.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Exponent_of_a_group&oldid=32426

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article