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This is really good stuff Elliot! The way you've explained this is second to none!
Best exposition of Aut(G) I’ve come across.
The best of explanations there Elliot
For finite groups you can skip checking the last condition. It's a simple 2 step subgroup test.
Let a, b be in Aut(G) subset of Sym(G), b^-1 exists as b is an isomorphism, it is also an isomorphism. b^-1a is an isomorphism. b^-1a is in Aut(G).
This is really good stuff Elliot! The way you've explained this is second to none!
Best exposition of Aut(G) I’ve come across.
The best of explanations there Elliot
For finite groups you can skip checking the last condition. It's a simple 2 step subgroup test.
Let a, b be in Aut(G) subset of Sym(G), b^-1 exists as b is an isomorphism, it is also an isomorphism. b^-1a is an isomorphism. b^-1a is in Aut(G).