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Apr 11, 2016 at 1:30 comment added nfdc23 The given link says the opposite in the indefinite case.
Apr 10, 2016 at 1:08 comment added Bilateral I haven't been able to check the reference that Brian Roberts cites either. In any case, why is this result (the outer automorphism group of orthogonal groups) so elusive in the literature? Shouldn't be a result present in any graduate book on Lie groups?
Apr 9, 2016 at 20:43 comment added Sebastian Goette Are you referring to the proof of Thm 2? I haven't been able to check the given reference. But what about the map $g\mapsto\det(g)\cdot g$ on $O(2k)$ in my answer? And how would an outer automorphism of $SO(3)$ look like (which is claimed to have a "flip", and if it looks the way I image it would be inner)?
Apr 9, 2016 at 20:03 history answered Igor Rivin CC BY-SA 3.0