If $G$ is a group, the **chief series** of $G$ is a normal series
\[ \langle e\rangle=N_0 \lhd N_1 \lhd \cdots \lhd N_k=G\]
where each $N_{i+1}/N_i$ is a minimal normal subgroup of $G/N_i$.

The factor groups $N_{i+1}/N_i$ are each isomorphic to a product of some number of copies of a single simple group (which depends on $i$).

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**Knowl status:**

- Review status: beta
- Last edited by John Jones on 2019-05-24 17:34:41

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