Abstract Algebra: Theory and Applications · Problem 11.5.2

Matrix Groups and Symmetry — Thomas Judson

Mathematics — Abstract Algebra · inner-automorphisms

Problem

An inner automorphism of

G

i_g : G \to G,

is defined by the map

i_g(x) = gxg^{-1},

for

g \in G

. Show that

i_g \in \text{Aut}(G)