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Inner group automorphism group
Set
| context | $\langle\!\langle G,\cdot\rangle\!\rangle$ … group |
| definition | $\mathrm{Inn}(G)\equiv\langle\!\langle \{h\mapsto g\cdot h\cdot g^{-1}\,\mid\,g\in G\},*\rangle\!\rangle$ |
| inclusion | $*$ … pointwise function product w.r.t. $G$ and $\langle\!\langle G,\cdot\rangle\!\rangle$ |
Elaboration
Explicitly, pointwise function product means
$(\phi*\psi)(h):=\phi(h)\cdot\psi(h)$
Reference
Wikipedia: Automorphism
Subset of
Requirements
