# Is there a commutator-theoretic criterion for supersolvability of a group?

A group $G$ is nilpotent if and only if there is a $c\gt 0$ such that the $(c+1)$st term of the lower central series is trivial. A group $G$ is solvable if and only if there is a $c\gt 0$ such that the $c$th term of the derived series is trivial.

Is there some similar criterion for supersolvability, or at least one which is purely commutator-theoretic?

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