##  [Burnside's P^a Q^B Theorem](/burnsides-pa-qb-theorem) 

  ##  [Burnside's P^a Q^B Theorem](https://algebra.quantumdictionary.io/burnsides-pa-qb-theorem-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem in finite group theory asserting that any finite group whose order is divisible by at most two distinct primes, i.e. of the form p^a q^b, is a solvable group.