# Brauer–Suzuki theorem

> theorem that a finite group with a generalized quaternion Sylow 2-subgroup and no non-trivial normal subgroups of odd order has a center of order 2

**Wikidata**: [Q1739994](https://www.wikidata.org/wiki/Q1739994)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Brauer–Suzuki_theorem)  
**Source**: https://4ort.xyz/entity/brauer-suzuki-theorem