# Baer–Suzuki theorem

> theorem that if any two elements of a conjugacy class of a finite group generate a nilpotent subgroup, then all elements of that conjugacy class are contained in a nilpotent subgroup

**Wikidata**: [Q4841299](https://www.wikidata.org/wiki/Q4841299)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Baer–Suzuki_theorem)  
**Source**: https://4ort.xyz/entity/baer-suzuki-theorem