Definition:Inner Automorphism Group

Definition
Let $G$ be a group.

The inner automorphism group of $G$ is the algebraic structure:
 * $\struct {\Inn G, \circ}$

where:
 * $\Inn G$ is the set of inner automorphisms of $G$
 * $\circ$ denotes composition of mappings.

Also denoted as
The inner automorphism group is usually denoted $\Inn G$ when there is little chance of conflating it with the set of inner automorphisms.

Also see

 * Inner Automorphisms form Subgroup of Symmetric Group