Let \(G\) be a nonabelian simple group. Prove that \(\operatorname {Aut}G\) contains a normal subgroup isomorphic to \(G\).
Question
Math 6310 • Algebra
Fall 2016 • Question 2
Question
Fall 2016 • Question 2
Let \(G\) be a nonabelian simple group. Prove that \(\operatorname {Aut}G\) contains a normal subgroup isomorphic to \(G\).