# Category:Normal Series

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This category contains results about Normal Series in the context of Group Theory.

Definitions specific to this category can be found in Definitions/Normal Series.

Let $G$ be a group whose identity is $e$.

A **normal series** for $G$ is a sequence of (normal) subgroups of $G$:

- $\set e = G_0 \lhd G_1 \lhd \cdots \lhd G_n = G$

where $G_{i - 1} \lhd G_i$ denotes that $G_{i - 1}$ is a proper normal subgroup of $G_i$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Normal Series"

The following 6 pages are in this category, out of 6 total.