Involution
From Groupprops
This article defines a property of elements in groups
Contents |
Definition
Symbol-free definition
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 x in a group G(with identity element e) is termed an involution if 
and x2 = e.
The set of involutions in a group G is denoted by I(G).
Relation with other properties
Stronger properties
Weaker properties
Related group properties
- Elementary abelian 2-group is a group in which all the non-identity elements are involutions.
