---
tag: S94ET5RTNY
kind: conjecture
name: Bounded Burnside problem
sources:
  - wikipedia: en:183091@r1376385932
    locator: List of unsolved problems in mathematics, section Unsolved problems > Algebra > Group theory
    note: adopted
    mention: wikipedia://en/183091#C2V6
    sections: [Statement]
inventory: [ATBH73K7BP]
---

## Statement

- Bounded Burnside problem: for which positive integers *m*, *n* is the free Burnside group B(*m*,*n*) finite? In particular, is B(2, 5) finite?