# [A Torsion-Free Group Algebra That Is Not Directly Finite](direct-finiteness.pdf)

OpenAI  
October 4, 2026

## Citation

```bibtex
@misc{OAI:A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026,
  author = {{OpenAI}},
  title = {{A Torsion-Free Group Algebra That Is Not Directly Finite}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026/direct-finiteness.pdf}{OAI:A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026}},
  year = {2026}
}
```