Definition:Inner Automorphism Group

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Let $G$ be a group.

The inner automorphism group of $G$ is the algebraic structure:

$\struct {\Inn G, \circ}$


$\Inn G$ 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

  • Results about inner automorphisms can be found here.