
@article{EG1957,
  author = {Eilenberg, Samuel and Ganea, Tudor},
  title = {On the {Lusternik--Schnirelmann} category of abstract groups},
  journal = {Annals of Mathematics},
  series = {Second Series},
  volume = {65},
  number = {3},
  pages = {517--518},
  year = {1957},
  doi = {10.2307/1970062},
  note = {\href{https://doi.org/10.2307/1970062}{doi:\nolinkurl{10.2307/1970062}}},
  url = {https://www.jstor.org/stable/1970062}
}

@article{BB1997,
  author = {Bestvina, Mladen and Brady, Noel},
  title = {Morse theory and finiteness properties of groups},
  journal = {Inventiones Mathematicae},
  volume = {129},
  number = {3},
  pages = {445--470},
  year = {1997},
  doi = {10.1007/s002220050168},
  note = {\href{https://doi.org/10.1007/s002220050168}{doi:\nolinkurl{10.1007/s002220050168}}},
  url = {https://doi.org/10.1007/s002220050168}
}

@article{GR1962,
  author = {Gerstenhaber, Murray and Rothaus, Oscar S.},
  title = {The solution of sets of equations in groups},
  journal = {Proceedings of the National Academy of Sciences of the United States of America},
  volume = {48},
  number = {9},
  pages = {1531--1533},
  year = {1962},
  doi = {10.1073/pnas.48.9.1531},
  note = {\href{https://doi.org/10.1073/pnas.48.9.1531}{doi:\nolinkurl{10.1073/pnas.48.9.1531}}},
  url = {https://pmc.ncbi.nlm.nih.gov/articles/PMC220992/}
}

@article{Froyshov2013,
  author = {Fr{\o}yshov, Kim A.},
  title = {On the existence of representations of finitely presented groups in compact {Lie} groups},
  journal = {Topology and its Applications},
  volume = {160},
  number = {15},
  pages = {1987--2002},
  year = {2013},
  doi = {10.1016/j.topol.2013.08.003},
  note = {\href{https://doi.org/10.1016/j.topol.2013.08.003}{doi:\nolinkurl{10.1016/j.topol.2013.08.003}}},
  eprint = {1304.0936},
  archivePrefix = {arXiv},
  primaryClass = {math.GT},
  url = {https://arxiv.org/abs/1304.0936v4}
}

@book{Hatcher2002,
  author = {Hatcher, Allen},
  title = {Algebraic Topology},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  year = {2002},
  note = {\href{https://pi.math.cornell.edu/~hatcher/AT/ATpage.html}{Author's online edition}},
  url = {https://pi.math.cornell.edu/~hatcher/AT/ATpage.html}
}

@book{Milnor1965,
  author = {Milnor, John W.},
  title = {Topology from the Differentiable Viewpoint},
  publisher = {University Press of Virginia},
  address = {Charlottesville},
  year = {1965},
  note = {Based on notes by David W. Weaver}
}

@misc{LP2026,
  author = {Leary, Ian J. and Petrosyan, Nansen},
  title = {Universal structure of graph product kernels},
  year = {2026},
  eprint = {2605.07853},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  note = {Preprint, \href{https://arxiv.org/abs/2605.07853v1}{arXiv:2605.07853v1}, 8 May 2026},
  url = {https://arxiv.org/abs/2605.07853v1}
}

@article{Fox1954,
  author = {Fox, Ralph H.},
  title = {Free differential calculus. {II}. The isomorphism problem of groups},
  journal = {Annals of Mathematics},
  series = {Second Series},
  volume = {59},
  number = {2},
  pages = {196--210},
  year = {1954},
  doi = {10.2307/1969686},
  note = {\href{https://doi.org/10.2307/1969686}{doi:\nolinkurl{10.2307/1969686}}}
}

@book{Munkres2000,
  author = {Munkres, James R.},
  title = {Topology},
  edition = {Second},
  publisher = {Prentice Hall},
  address = {Upper Saddle River, NJ},
  year = {2000},
  isbn = {0-13-181629-2}
}

@article{DicksLeary1999,
  author = {Dicks, Warren and Leary, Ian J.},
  title = {Presentations for subgroups of {Artin} groups},
  journal = {Proceedings of the American Mathematical Society},
  volume = {127},
  number = {2},
  pages = {343--348},
  year = {1999},
  doi = {10.1090/S0002-9939-99-04873-X},
  eprint = {1210.6585},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  url = {https://arxiv.org/abs/1210.6585v1},
  note = {Preprint available as \href{https://arxiv.org/abs/1210.6585v1}{arXiv:1210.6585v1}; \href{https://doi.org/10.1090/S0002-9939-99-04873-X}{doi:\nolinkurl{10.1090/S0002-9939-99-04873-X}}}
}

@article{Howie1999,
  author = {Howie, James},
  title = {{Bestvina--Brady} groups and the plus construction},
  journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  volume = {127},
  number = {3},
  pages = {487--493},
  year = {1999},
  doi = {10.1017/S0305004199003928},
  url = {https://doi.org/10.1017/S0305004199003928},
  note = {\href{https://doi.org/10.1017/S0305004199003928}{doi:\nolinkurl{10.1017/S0305004199003928}}}
}

@article{Whitehead1941,
  author = {Whitehead, J. H. C.},
  title = {On adding relations to homotopy groups},
  journal = {Annals of Mathematics},
  series = {Second Series},
  volume = {42},
  number = {2},
  pages = {409--428},
  year = {1941},
  doi = {10.2307/1968907},
  url = {https://doi.org/10.2307/1968907},
  note = {\href{https://doi.org/10.2307/1968907}{doi:\nolinkurl{10.2307/1968907}}}
}

@phdthesis{Green1990,
  author = {Green, Elisabeth Ruth},
  title = {Graph products of groups},
  school = {University of Leeds},
  year = {1990},
  month = mar,
  url = {https://etheses.whiterose.ac.uk/id/eprint/236/},
  note = {\href{https://etheses.whiterose.ac.uk/id/eprint/236/}{University of Leeds thesis}}
}

@article{HsuWise1999,
  author = {Hsu, Tim and Wise, Daniel T.},
  title = {On linear and residual properties of graph products},
  journal = {Michigan Mathematical Journal},
  volume = {46},
  number = {2},
  pages = {251--259},
  year = {1999},
  doi = {10.1307/mmj/1030132408},
  url = {https://doi.org/10.1307/mmj/1030132408},
  note = {\href{https://doi.org/10.1307/mmj/1030132408}{doi:\nolinkurl{10.1307/mmj/1030132408}}}
}

@book{CartierFoata1969,
  author = {Cartier, Pierre and Foata, Dominique},
  title = {Probl{\`e}mes combinatoires de commutation et r{\'e}arrangements},
  series = {Lecture Notes in Mathematics},
  volume = {85},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {1969},
  doi = {10.1007/BFb0079468},
  note = {Authorized electronic reedition with appendices, 2006; \href{https://doi.org/10.1007/BFb0079468}{doi:\nolinkurl{10.1007/BFb0079468}}},
  url = {https://irma.math.unistra.fr/~foata/paper/pub11.html}
}

@article{Stallings1968,
  author = {Stallings, John R.},
  title = {On torsion-free groups with infinitely many ends},
  journal = {Annals of Mathematics},
  series = {Second Series},
  volume = {88},
  number = {2},
  pages = {312--334},
  year = {1968},
  doi = {10.2307/1970577},
  note = {\href{https://doi.org/10.2307/1970577}{doi:\nolinkurl{10.2307/1970577}}}
}

@article{Swan1969,
  author = {Swan, Richard G.},
  title = {Groups of cohomological dimension one},
  journal = {Journal of Algebra},
  volume = {12},
  pages = {585--610},
  year = {1969},
  doi = {10.1016/0021-8693(69)90030-1},
  note = {\href{https://doi.org/10.1016/0021-8693(69)90030-1}{doi:\nolinkurl{10.1016/0021-8693(69)90030-1}}}
}
