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Feb 23, 2010 at 14:22 comment added Allen Knutson I could move "over a finite field" earlier in the answer to sidestep your objection!
Feb 9, 2010 at 16:14 comment added Kevin McGerty To nit-pick slightly, these are endomorphisms not automorphisms -- they have a zero dimensional kernel -- so really they are what I would call isogenies not automorphisms of the groups. I'm a fan of their existence though, so I'm upvoting to make up for my picky-ness.
Feb 9, 2010 at 15:10 history answered Allen Knutson CC BY-SA 2.5