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Nov 19, 2018 at 22:58 history edited user131093 CC BY-SA 4.0
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Nov 18, 2018 at 5:23 comment added user131093 You are (both) completely correct --- my computations on scribble paper on the bus were nonsense
Nov 18, 2018 at 5:20 history edited user131093 CC BY-SA 4.0
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Nov 18, 2018 at 4:32 comment added YCor I agree that in this case, $[G,G]=[G,[G,G]]$ (a normal subgroup of order 27).
Nov 18, 2018 at 4:14 comment added David E Speyer I am confused. I see that $[V,V]$, in your example, is the order 3 subgroup you describe. But it looks to me like $[G,V] = V$, which makes your example trivial.
Nov 18, 2018 at 3:38 comment added David E Speyer Wow! That is quite a computation. I'll try to get my argument for this part written up tonight or tomorrow night.
Nov 18, 2018 at 3:22 history answered user131093 CC BY-SA 4.0