---
tag: 2KZHYH7MJ4
kind: concept
name: Subgroup series
aliases: [artinian-group, invariant-series, noetherian-group, normal-series, normal-tower, subgroup-method, tower-of-groups]
sources:
  - wikipedia: en:1545790@r1293723222
    locator: Subgroup series
    note: adopted
    mention: wikipedia://en/1545790
    sections: [Summary]
same_as:
  wikidata: Q360830
  wikipedia: Subgroup series
inventory: [KGQB3404BB]
---

## Summary

In mathematics, specifically group theory, a **subgroup series** of a group $G$ is a chain of [[subgroups|0X1JXT47GA]]: