===== Inner group automorphism group =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle\!\langle G,\cdot\rangle\!\rangle$ ... group |
| @#FF9944: definition  | @#FF9944: $\mathrm{Inn}(G)\equiv\langle\!\langle \{h\mapsto g\cdot h\cdot g^{-1}\,\mid\,g\in G\},*\rangle\!\rangle$ |
| @#AAFFAA: inclusion   | @#AAFFAA: $*$ ... pointwise function product on $G^G$ |

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=== Elaboration ===
Explicitly, pointwise function product means

$(\phi*\psi)(h):=\phi(h)\cdot\psi(h)$

=== Reference ===
Wikipedia: 
[[https://en.wikipedia.org/wiki/Automorphism|Automorphism]]

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=== Subset of ===
[[Automorphism group]]
=== Requirements ===
[[Pointwise function product]]