# 3-transposition

From Groupprops

*This article defines a property of elements in groups*

## Definition

### Symbol-free definition

An involution in a group is said to be a **3-transposition** if any product of two elements in its conjugacy class is an element of order either 1,2, or 3.

A conjugacy class whose elements are 3-transpositions is termed a **class of 3-transpositions**.