Linked from

The 9 pages that link to Composition series, each with the reason it gives.

• Normal subgroupRelated: Each step uses a normal subgroup of the preceding group.

• Simple groupRelated: Simple groups appear as the indivisible factors in this chain.

• Irreducible representationRelated: Its simple factors are irreducible representations in the representation setting.

• Finite simple groupRelated: Every finite group can be decomposed into finite simple composition factors.

• Jordan–Hölder theoremBroader topic: Its factor groups are the objects compared by the theorem.

• Solvable groupRelated: A finite group is solvable exactly when all its composition factors are cyclic of prime order.

• Lie's theoremRelated: The invariant flag from Lie's theorem organizes a representation into one-dimensional quotients.

• Zassenhaus lemmaBroader topic: The lemma helps establish that different composition series have matching factors.

• Fitting lemmaRelated: Its finite length gives the chain conditions used in the lemma.