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- - **Last non-trivial group in the derived series of a solvable group**
(*http://mymathforum.com/abstract-algebra/337852-last-non-trivial-group-derived-series-solvable-group.html*)

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