---
tag: V5CX46EB8A
kind: concept
name: Strictly simple group
sources:
  - wikipedia: en:4966772@r1170058253
    locator: Strictly simple group
    note: adopted
    mention: wikipedia://en/4966772
    sections: [Summary]
same_as:
  wikidata: Q7623692
  wikipedia: Strictly simple group
inventory: [7NE5TQB676]
---

## Summary

In mathematics, in the field of group theory, a group is said to be **strictly simple** if it has no proper nontrivial ascendant subgroups. That is, $G$ is a strictly simple group if the only ascendant subgroups of $G$ are $\{ e \}$ (the trivial subgroup), and $G$ itself (the whole group).