---
tag: 5XCQ23ATVY
kind: concept
name: Torsion free
sources:
  - wikipedia: en:3690584@r1358136878
    locator: List of first-order theories, section Groups
    note: adopted
    mention: wikipedia://en/3690584#6XQ9
    sections: [Summary]
inventory: [ANJ9DB8BED]
---

## Summary

- **Torsion free**: ∀*x* *x*<sup>2</sup> = 1→*x* = 1, ∀*x* *x*<sup>3</sup> = 1 → *x* = 1, ∀*x* *x*<sup>4</sup> = 1 → *x* = 1, ...