Here is a puzzle that my ex-brother-in-law, Dodik, gave to me today:
Prove that every group with more than two elements has a non-trivial automorphism.
I usually love puzzles that are solved with a counter-intuitive brilliant idea. This puzzle is different — I didn’t solve it in one elegant swoop. But I still love the puzzle: it feels so natural, and it’s solution feels so natural, that I even decided to call this puzzle “organic.” Or, maybe, I am just in an organic mood today waiting for my organic bananas to be delivered from Boston Organics.Share: