Abstract Algebra: Theory and Applications · Problem 9.4.37

Normal Subgroups and Factor Groups — Thomas Judson

Mathematics — Abstract Algebra · automorphism-group

Problem

We will denote the set of all automorphisms of

G

\text{Aut}(G)

. Prove that

\text{Aut}(G)

is a subgroup of

S_G

, the group of permutations of

G