---
tag: 71GNXXRD5V
kind: concept
name: Descendant tree (group theory)
sources:
  - wikipedia: en:42823620@r1324320219
    locator: Descendant tree (group theory)
    note: adopted
    mention: wikipedia://en/42823620
    sections: [Summary]
same_as:
  wikidata: Q113884406
  wikipedia: Descendant tree (group theory)
inventory: [C7KVWD061H]
---

## Summary

In mathematics, specifically group theory, a **descendant tree** is a hierarchical structure that visualizes parent-descendant relations between isomorphism classes of finite groups of prime power order $p^n$, for a fixed prime number $p$ and varying integer exponents $n\ge 0$. Such groups are briefly called *finite* [[*p-groups*|06QYRTX9KQ]]. The *vertices* of a [[descendant tree|062D9KXJB1]] are isomorphism classes of finite *p*-groups.