---
date: 2021-04-04
tags: [ web/quick-notes ]
---


# 2021-04-04

## 16:53
See [qual review](qual%20review).

> Note from Pete: a common technique on qual Algebra problems is extracting an index 2 subgroup using the Cayley action of $G$ on itself. These are always normal, so if this exists, $G$ can't be simple unless it's order 2.