Definition:Composition Series/Composition Length
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Theorem
Let $G$ be a group.
Let $\HH$ be a composition series for $G$.
The composition length of $G$ is the length of $\HH$.
Also see
- Jordan-Hölder Theorem: the composition length of a group is well-defined.
Sources
- 1978: John S. Rose: A Course on Group Theory ... (previous) ... (next): $1$: Introduction to Finite Group Theory: $1.9$