@article{levitt-1995,
  author = {Levitt, Gilbert},
  title = {On the cost of generating an equivalence relation},
  journal = {Ergodic Theory and Dynamical Systems},
  volume = {15},
  number = {6},
  pages = {1173--1181},
  year = {1995},
  doi = {10.1017/S0143385700009846}
}

@article{gaboriau-2000,
  author = {Gaboriau, Damien},
  title = {Co{\^u}t des relations d'{\'e}quivalence et des groupes},
  journal = {Inventiones mathematicae},
  volume = {139},
  pages = {41--98},
  year = {2000},
  doi = {10.1007/s002229900019},
  url = {https://perso.ens-lyon.fr/gaboriau/Travaux-Publi/Cout/Cout.pdf}
}

@article{arzhantseva-olshanskii-1996,
  author = {Arzhantseva, G. N. and Ol'shanskii, A. Yu.},
  title = {The class of groups all of whose subgroups with lesser number of generators are free is generic},
  journal = {Mathematical Notes},
  volume = {59},
  pages = {350--355},
  year = {1996},
  doi = {10.1007/BF02308683},
  url = {https://www.mat.univie.ac.at/~arjantseva/Abs/arzholsh.pdf}
}

@misc{kapovich-schupp-2002,
  author = {Kapovich, Ilya and Schupp, Paul},
  title = {Genericity, the {Arzhantseva--Ol'shanskii} method and the Isomorphism Problem for One-Relator Groups},
  year = {2002},
  eprint = {math/0210307},
  howpublished = {\href{https://arxiv.org/abs/math/0210307v1}{arXiv:math/0210307}},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  note = {Version 1, 19 October 2002; numbered statements cited from this version},
  url = {https://arxiv.org/abs/math/0210307v1}
}

@misc{khezeli-2026-v4,
  author = {Khezeli, Ali},
  title = {Products of Infinite Countable Groups Have Fixed Price One},
  year = {2026},
  eprint = {2509.08325},
  howpublished = {\href{https://arxiv.org/abs/2509.08325v4}{arXiv:2509.08325}},
  archivePrefix = {arXiv},
  note = {Version 4, 4 January 2026},
  url = {https://arxiv.org/abs/2509.08325v4}
}

@misc{slutsky-2026-v1,
  author = {Slutsky, Raz},
  title = {A Product-Neighbourhood Criterion for Fixed Price One},
  year = {2026},
  eprint = {2607.20273},
  howpublished = {\href{https://arxiv.org/abs/2607.20273v1}{arXiv:2607.20273}},
  archivePrefix = {arXiv},
  note = {Version 1, 22 July 2026},
  url = {https://arxiv.org/abs/2607.20273v1}
}

@misc{bevilacqua-bowen-2025-v1,
  author = {Bevilacqua, Erin and Bowen, Lewis},
  title = {Metric criteria for fixed price of countable groups},
  year = {2025},
  eprint = {2510.05459},
  howpublished = {\href{https://arxiv.org/abs/2510.05459v1}{arXiv:2510.05459}},
  archivePrefix = {arXiv},
  note = {Version 1, submitted 6 October 2025; PDF title page dated 8 October 2025},
  url = {https://arxiv.org/abs/2510.05459v1}
}

@article{greendlinger-1960,
  author = {Greendlinger, Martin},
  title = {Dehn's algorithm for the word problem},
  journal = {Communications on Pure and Applied Mathematics},
  volume = {13},
  number = {1},
  pages = {67--83},
  year = {1960},
  doi = {10.1002/cpa.3160130108}
}