---
tag: 0FXJ7YFMMX
kind: concept
name: Solvable group
aliases: [soluble-group]
msc: [20F16]
sources:
  - url: https://en.wikipedia.org/wiki/Solvable_group
    locator: Definition
same_as:
  wikidata: Q759832
  wikipedia: Solvable group
---

## Summary

A solvable group is a group with a subnormal series whose factor groups are all abelian.
Equivalently, its derived series reaches the trivial subgroup.