@article{Xylouris2011,
  author = {Xylouris, Triantafyllos},
  title = {On the least prime in an arithmetic progression and estimates
           for the zeros of {Dirichlet} {$L$}-functions},
  journal = {Acta Arithmetica},
  volume = {150},
  number = {1},
  pages = {65--91},
  year = {2011},
  doi = {10.4064/aa150-1-4},
  url = {https://www.impan.pl/shop/publication/transaction/download/product/83078}
}

@article{CSCPhungMonoid2025,
  author = {Ceccherini-Silberstein, Tullio and Coornaert, Michel
            and Phung, Xuan Kien},
  title = {Stable finiteness of monoid algebras and surjunctivity},
  journal = {Theoretical Computer Science},
  volume = {1042},
  pages = {115228},
  year = {2025},
  doi = {10.1016/j.tcs.2025.115228},
  url = {https://arxiv.org/abs/2405.18287v1},
  note = {Preprint version: arXiv:2405.18287v1}
}

@article{CSCPhungGroup2025,
  author = {Ceccherini-Silberstein, Tullio and Coornaert, Michel
            and Phung, Xuan Kien},
  title = {First-order model theory and {Kaplansky}'s stable finiteness
           conjecture for surjunctive groups},
  journal = {Groups, Geometry, and Dynamics},
  volume = {19},
  pages = {495--503},
  year = {2025},
  doi = {10.4171/GGD/885},
  url = {https://ems.press/content/serial-article-files/51166?nt=1}
}

@article{DykemaJuschenko2015,
  author = {Dykema, Ken and Juschenko, Kate},
  title = {On stable finiteness of group rings},
  journal = {Algebra and Discrete Mathematics},
  volume = {19},
  number = {1},
  pages = {44--47},
  year = {2015},
  url = {https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174}
}

@article{ElekSzabo2004,
  author = {Elek, G{\'a}bor and Szab{\'o}, Endre},
  title = {Sofic groups and direct finiteness},
  journal = {Journal of Algebra},
  volume = {280},
  number = {2},
  pages = {426--434},
  year = {2004},
  doi = {10.1016/j.jalgebra.2004.06.023},
  url = {https://arxiv.org/abs/math/0305440v2}
}

@misc{GolowichLin2024,
  author = {Golowich, Louis and Lin, Ting-Chun},
  title = {Quantum {LDPC} codes with transversal non-{Clifford} gates
           via products of algebraic codes},
  howpublished = {arXiv:2410.14662v1},
  year = {2024},
  url = {https://arxiv.org/abs/2410.14662v1}
}

@inproceedings{DinurLiuZhang2025,
  author = {Dinur, Irit and Liu, Siqi and Zhang, Rachel Yun},
  title = {New codes on high dimensional expanders},
  booktitle = {40th Computational Complexity Conference ({CCC} 2025)},
  series = {Leibniz International Proceedings in Informatics},
  volume = {339},
  pages = {27:1--27:42},
  publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  year = {2025},
  doi = {10.4230/LIPIcs.CCC.2025.27},
  url = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2025.27}
}

@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{Montgomery1969,
  author = {Montgomery, M. Susan},
  title = {Left and right inverses in group algebras},
  journal = {Bulletin of the American Mathematical Society},
  volume = {75},
  number = {3},
  pages = {539--540},
  year = {1969},
  doi = {10.1090/S0002-9904-1969-12234-2}
}

@article{Linnik1944,
  author = {Linnik, U. V.},
  title = {On the least prime in an arithmetic progression. {I}. {The} basic theorem},
  journal = {Recueil Math\'ematique (Nouvelle s\'erie)},
  volume = {15(57)},
  number = {2},
  pages = {139--178},
  year = {1944},
  url = {https://www.mathnet.ru/eng/sm6196}
}

@article{HNN1949,
  author = {Higman, Graham and Neumann, B. H. and Neumann, Hanna},
  title = {Embedding theorems for groups},
  journal = {Journal of the London Mathematical Society},
  volume = {24},
  number = {4},
  pages = {247--254},
  year = {1949},
  doi = {10.1112/jlms/s1-24.4.247}
}

@incollection{ErdosLovasz1975,
  author = {Erd{\H{o}}s, Paul and Lov{\'a}sz, L{\'a}szl{\'o}},
  title = {Problems and results on 3-chromatic hypergraphs and some related questions},
  booktitle = {Infinite and Finite Sets, Vol.~II},
  series = {Colloquia Mathematica Societatis J{\'a}nos Bolyai},
  volume = {10},
  publisher = {North-Holland},
  address = {Amsterdam},
  pages = {609--627},
  year = {1975},
  url = {https://www.renyi.hu/~p_erdos/1975-34.pdf}
}

@misc{MoserTardos2009,
  author = {Moser, Robin A. and Tardos, G{\'a}bor},
  title = {A constructive proof of the general {Lov{\'a}sz Local Lemma}},
  howpublished = {arXiv:0903.0544v3},
  year = {2009},
  url = {https://arxiv.org/abs/0903.0544v3}
}

@article{DynFloater2014,
  author = {Dyn, Nira and Floater, Michael S.},
  title = {Multivariate polynomial interpolation on lower sets},
  journal = {Journal of Approximation Theory},
  volume = {177},
  pages = {34--42},
  year = {2014},
  doi = {10.1016/j.jat.2013.09.008}
}

@incollection{Gottschalk1973,
  author = {Gottschalk, Walter},
  title = {Some general dynamical notions},
  editor = {Beck, Anatole},
  booktitle = {Recent Advances in Topological Dynamics},
  series = {Lecture Notes in Mathematics},
  volume = {318},
  publisher = {Springer},
  address = {Berlin, Heidelberg},
  pages = {120--125},
  year = {1973},
  doi = {10.1007/BFb0061728}
}

@article{Gromov1999,
  author = {Gromov, Mikhail},
  title = {Endomorphisms of symbolic algebraic varieties},
  journal = {Journal of the European Mathematical Society},
  volume = {1},
  number = {2},
  pages = {109--197},
  year = {1999},
  doi = {10.1007/PL00011162}
}

@article{Weiss2000,
  author = {Weiss, Benjamin},
  title = {Sofic groups and dynamical systems},
  journal = {Sankhy{\=a}: The Indian Journal of Statistics, Series A},
  volume = {62},
  number = {3},
  pages = {350--359},
  year = {2000},
  url = {https://www.jstor.org/stable/25051326}
}

@article{CSCCoornaert2006,
  author = {Ceccherini-Silberstein, Tullio and Coornaert, Michel},
  title = {Linear cellular automata: {Garden} of {Eden Theorem}, {L}-surjunctivity and group rings},
  journal = {Algebra and Discrete Mathematics},
  note = {no.~2},
  pages = {22--35},
  year = {2006},
  url = {https://admjournal.luguniv.edu.ua/index.php/adm/article/view/886}
}

@article{Phung2023,
  author = {Phung, Xuan Kien},
  title = {A geometric generalization of {Kaplansky}'s direct finiteness conjecture},
  journal = {Proceedings of the American Mathematical Society},
  volume = {151},
  number = {7},
  pages = {2863--2871},
  year = {2023},
  url = {https://arxiv.org/abs/2111.07930v1}
}

@misc{DeterminantCompanion,
  author = {{OpenAI}},
  title = {{A Counterexample to the Group-Ring Determinant Conjecture}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-the-Group-Ring-Determinant-Conjecture-September-23-2026/paper.pdf}{OAI:A-Counterexample-to-the-Group-Ring-Determinant-Conjecture-September-23-2026}},
  year = {2026}
}

@misc{UniversalFinftyCompanion,
  author = {{OpenAI}},
  title = {{A universal group of type $F_\infty$}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-universal-group-of-type-F-infinity-September-23-2026/paper.pdf}{OAI:A-universal-group-of-type-F-infinity-September-23-2026}},
  year = {2026}
}
