Supersolvable group

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In mathematics, in the field of group theory, a group is supersolvable if it has a invariant series where all the factors are cyclic groups of prime order.

Some facts about supersolvable groups:

• Supersolvable groups are always polycyclic, and hence solvable
• Every finitely generated nilpotent group is supersolvable.
• By Baum's theorem, every supersolvable finite group has a DFT algorithm running in time O(nlogn).