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May 31, 2014 at 15:18 comment added Russ Woodroofe See also this related question mathoverflow.net/questions/7782/…
May 31, 2014 at 15:18 history edited Russ Woodroofe CC BY-SA 3.0
commented on difficulty of problem; other minor edits
May 31, 2014 at 15:13 comment added Russ Woodroofe The groupprops wiki has a couple of articles regarding this, e.g. groupprops.subwiki.org/wiki/Extensible_automorphisms_problem . While I found these to be rather incomplete, they give a start in finding some references.
May 31, 2014 at 15:11 history answered Russ Woodroofe CC BY-SA 3.0