@book{Kaplansky1972,
  author = {Kaplansky, Irving},
  title = {Fields and Rings},
  edition = {Second},
  series = {Chicago Lectures in Mathematics},
  publisher = {University of Chicago Press},
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  year = {1972}
}

@article{Montgomery1969,
  author = {Montgomery, M. Susan},
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  journal = {Bulletin of the American Mathematical Society},
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}

@article{AraOMearaPerera2002,
  author = {Ara, Pere and O'Meara, Kevin C. and Perera, Francesc},
  title = {Stable finiteness of group rings in arbitrary characteristic},
  journal = {Advances in Mathematics},
  volume = {170},
  number = {2},
  pages = {224--238},
  year = {2002},
  doi = {10.1006/aima.2002.2075}
}

@article{ElekSzabo2004,
  author = {Elek, G{\'a}bor and Szab{\'o}, Endre},
  title = {Sofic groups and direct finiteness},
  journal = {Journal of Algebra},
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  number = {2},
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  year = {2004},
  doi = {10.1016/j.jalgebra.2004.06.023},
  url = {https://arxiv.org/abs/math/0305440v2}
}

@article{DykemaHeisterJuschenko2015,
  author = {Dykema, Ken and Heister, Timo and Juschenko, Kate},
  title = {Finitely presented groups related to {Kaplansky}'s direct finiteness conjecture},
  journal = {Experimental Mathematics},
  volume = {24},
  number = {3},
  pages = {326--338},
  year = {2015},
  doi = {10.1080/10586458.2014.993051},
  url = {https://web.ma.utexas.edu/users/juschenko/files/Dykema-Juschenko-Heister.pdf}
}

@article{DykemaJuschenko2015,
  author = {Dykema, Ken and Juschenko, Kate},
  title = {On stable finiteness of group rings},
  journal = {Algebra and Discrete Mathematics},
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  number = {1},
  pages = {44--47},
  year = {2015},
  url = {https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174}
}

@article{Gromov2003,
  author = {Gromov, Mikhail},
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}

@article{Ollivier2006,
  author = {Ollivier, Yann},
  title = {On a small cancellation theorem of {Gromov}},
  journal = {Bulletin of the Belgian Mathematical Society--Simon Stevin},
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  pages = {75--89},
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  doi = {10.36045/bbms/1148059334},
  url = {https://arxiv.org/abs/math/0310022v2},
  note = {Revised preprint, version 2, September 25, 2024}
}

@article{LiptonTarjan1979,
  author = {Lipton, Richard J. and Tarjan, Robert Endre},
  title = {A separator theorem for planar graphs},
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@book{Hatcher2002,
  author = {Hatcher, Allen},
  title = {Algebraic Topology},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  year = {2002},
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@book{Brown1982,
  author = {Brown, Kenneth S.},
  title = {Cohomology of Groups},
  series = {Graduate Texts in Mathematics},
  volume = {87},
  publisher = {Springer-Verlag},
  address = {New York},
  year = {1982},
  isbn = {978-0-387-90688-1},
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}

@misc{OpenAI2026ZD,
  author = {{OpenAI}},
  title = {{A Torsion-Free Group Algebra with Zero Divisors}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Group-Algebra-with-Zero-Divisors-September-23-2026/paper.pdf}{OAI:A-Torsion-Free-Group-Algebra-with-Zero-Divisors-September-23-2026}},
  year = {2026}
}

@misc{OpenAI2026DF,
  author = {{OpenAI}},
  title = {{A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026/paper.pdf}{OAI:A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026}},
  year = {2026}
}

@article{Bereznyuk2019,
  author = {Bereznyuk, Vadim Yu.},
  title = {Asphericity of groups defined by graphs},
  journal = {Mathematical Notes},
  volume = {105},
  number = {3},
  pages = {316--328},
  year = {2019},
  doi = {10.1134/S0001434619030027},
  url = {https://arxiv.org/abs/1711.05293v2}
}