Inner automorphism/Automorphism/Fact
< Inner automorphism < Automorphism
An
inner automorphism
is indeed
an automorphism.
The assignment
G
⟶
Aut
G
,
g
⟼
κ
g
,
{\displaystyle G\longrightarrow \operatorname {Aut} \,G,g\longmapsto \kappa _{g},}
is a
group homomorphism
.
Proof
,
Write another proof