Supersolvable group

In mathematics, a group is supersolvable (or supersoluble) if it has an invariant normal series where all the factors are cyclic groups. Supersolvability is stronger than the notion of solvability.

Let G be a group. G is supersolvable if there exists a normal series

such that each quotient group ${\displaystyle H_{i+1}/H_{i}\;}$ is cyclic and each ${\displaystyle H_{i}}$ is normal in ${\displaystyle G}$.

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