This article defines a property of elements in groups
An element in a group is termed an involution if its order is exactly two, viz if it is a nonidentity element and its square is the identity element.
Definition with symbols
An element in a group (with identity element ) is termed an involution if and .
The set of involutions in a group is denoted by .
Relation with other properties
Related group properties
- Elementary abelian 2-group is a group in which all the non-identity elements are involutions.