True or False: The group of automorphisms of the symmetric group , n ≥ 3 is itself.
The answer is hard to believe. It reminds me of the smooth structures on $\mathbb{R}^n$.
To have anything else happen would be as unlikely as a perfect number which is also a factorial!
I guess you could say that my intuition was correct almost everywhere. 🙂
Dear James, Aaron, and Aram – thanks for the comments!
Coincidentally (?), two days after this was posted John McCammond uploaded a nice little paper to the arXiv containing the answer.
Interesting answer, which I found in a yellow GTM book that I have in my office.
Dear Paco and Nick, thanks for the comments. The question came from a talk at HUJI COMBSEM by Sonia Balagopalan and the answer has a role in the minimal triangulation for the 4-dimensional real projective plane. Hmm I wonder what GTM book it was.
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The answer is hard to believe. It reminds me of the smooth structures on $\mathbb{R}^n$.
To have anything else happen would be as unlikely as a perfect number which is also a factorial!
I guess you could say that my intuition was correct almost everywhere. 🙂
Dear James, Aaron, and Aram – thanks for the comments!
Coincidentally (?), two days after this was posted John McCammond uploaded a nice little paper to the arXiv containing the answer.
Interesting answer, which I found in a yellow GTM book that I have in my office.
Dear Paco and Nick, thanks for the comments. The question came from a talk at HUJI COMBSEM by Sonia Balagopalan and the answer has a role in the minimal triangulation for the 4-dimensional real projective plane. Hmm I wonder what GTM book it was.