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December 4th, 2016, 03:39 AM   #1
Joined: Oct 2013

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Last non-trivial group in the derived series of a solvable group

I was wondering if there were any special properties of the group $G^{(i-1)}$ if $i$ is the smallest such integer such that $G^{(i)}$ is trivial for $G$ solvable. Clearly it must be abelian, but is it for example elementary abelian, can it contain a subgroup which is normal in $G$ etc. ?
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derived, group, nontrivial, series, solvable, trivial

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