@article{Brown1975,
  author = {Brown, Kenneth S.},
  title = {Euler characteristics of groups: the {$p$}-fractional part},
  journal = {Inventiones Mathematicae},
  volume = {29}, number = {1}, pages = {1--5}, year = {1975},
  doi = {10.1007/BF01405170},
  url = {https://pi.math.cornell.edu/~kbrown/scan/1975.0029.pdf}
}

@article{Quillen1978,
  author = {Quillen, Daniel},
  title = {Homotopy properties of the poset of nontrivial {$p$}-subgroups of a group},
  journal = {Advances in Mathematics},
  volume = {28},
  pages = {101--128},
  year = {1978},
  doi = {10.1016/0001-8708(78)90058-0},
  url = {https://www.cefns.nau.edu/~falk/classes/690/projects/Quillen78.pdf}
}

@article{AschbacherSmith1993,
  author = {Aschbacher, Michael and Smith, Stephen D.},
  title = {On {Quillen}'s conjecture for the {$p$}-groups complex},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {137},
  number = {3},
  pages = {473--529},
  year = {1993},
  doi = {10.2307/2946530},
  url = {https://annals.math.princeton.edu/1993/137-3/p02}
}

@article{PitermanSmith2025,
  author = {Piterman, Kevin Iv{\'a}n and Smith, Stephen D.},
  title = {Some results on {Quillen}'s conjecture via equivalent-poset techniques},
  journal = {Journal of Combinatorial Algebra},
  volume = {9},
  number = {3/4},
  pages = {265--387},
  year = {2025},
  doi = {10.4171/JCA/95},
  url = {https://ems.press/journals/jca/articles/14298077}
}

@article{PitermanSmith2022,
  author = {Piterman, Kevin Iv{\'a}n and Smith, Stephen D.},
  title = {Eliminating components in {Quillen}'s conjecture},
  journal = {Journal of Algebra},
  volume = {607}, pages = {681--732}, year = {2022},
  note = {Part A}, doi = {10.1016/j.jalgebra.2021.05.011},
  eprint = {2011.04861}, archivePrefix = {arXiv}
}

@article{Piterman2024,
  author = {Piterman, Kevin Iv{\'a}n},
  title = {Maximal subgroups of exceptional groups and {Quillen}'s dimension},
  journal = {Algebra \& Number Theory},
  volume = {18}, number = {7}, pages = {1375--1401}, year = {2024},
  doi = {10.2140/ant.2024.18.1375},
  eprint = {2301.02570}, archivePrefix = {arXiv}
}

@misc{Piterman2026,
  author = {Piterman, Kevin Iv{\'a}n},
  title = {Components in characteristic {$p$} and {Quillen}'s conjecture},
  year = {2026},
  howpublished = {arXiv:2607.27500v1},
  note = {Version 1, 29 July 2026},
  doi = {10.48550/arXiv.2607.27500},
  url = {https://arxiv.org/abs/2607.27500v1}
}

@misc{DiazRamos2026,
  author = {D{\'i}az Ramos, Antonio},
  title = {{Quillen}'s conjecture and unitary groups},
  year = {2026},
  howpublished = {arXiv:2303.15613v6},
  note = {Version 6, 22 July 2026; first posted in 2023},
  doi = {10.48550/arXiv.2303.15613},
  url = {https://arxiv.org/abs/2303.15613v6}
}

@book{GLS1998,
  author = {Gorenstein, Daniel and Lyons, Richard and Solomon, Ronald},
  title = {The Classification of the Finite Simple Groups, Number 3.
           Part {I}, Chapter {A}: Almost Simple {$K$}-Groups},
  series = {Mathematical Surveys and Monographs},
  volume = {40},
  publisher = {American Mathematical Society},
  address = {Providence, RI},
  year = {1998},
  doi = {10.1090/surv/040.3}
}

@book{Scheunert1979,
  author = {Scheunert, Manfred},
  title = {The Theory of {Lie} Superalgebras: An Introduction},
  series = {Lecture Notes in Mathematics},
  volume = {716},
  publisher = {Springer-Verlag},
  address = {Berlin--Heidelberg},
  year = {1979},
  doi = {10.1007/BFb0070929},
  url = {https://link.springer.com/book/10.1007/BFb0070929}
}

@article{AschbacherKleidman1990,
  author = {Aschbacher, Michael and Kleidman, Peter B.},
  title = {On a conjecture of {Quillen} and a lemma of {Robinson}},
  journal = {Archiv der Mathematik},
  volume = {55}, number = {3}, pages = {209--217}, year = {1990},
  doi = {10.1007/BF01191159}
}

@article{SegevWebb1994,
  author = {Segev, Yoav and Webb, Peter},
  title = {Extensions of {$G$}-posets and {Quillen}'s complex},
  journal = {Journal of the Australian Mathematical Society, Series A},
  volume = {57}, number = {1}, pages = {60--75}, year = {1994},
  doi = {10.1017/S1446788700036053}
}

@article{Piterman2021,
  author = {Piterman, Kevin Iv{\'a}n},
  title = {An approach to {Quillen}'s conjecture via centralisers of simple groups},
  journal = {Forum of Mathematics, Sigma}, volume = {9},
  pages = {e48}, year = {2021}, doi = {10.1017/fms.2021.41},
  eprint = {2003.06384}, archivePrefix = {arXiv}
}

@article{DiazRamos2018,
  author = {D{\'i}az Ramos, Antonio},
  title = {On {Quillen}'s conjecture for {$p$}-solvable groups},
  journal = {Journal of Algebra}, volume = {513},
  pages = {246--264}, year = {2018}, doi = {10.1016/j.jalgebra.2018.07.027},
  eprint = {1604.01922}, archivePrefix = {arXiv},
  note = {arXiv version 1},
  url = {https://arxiv.org/abs/1604.01922v1}
}

@article{DiazRamosMazza2022,
  author = {D{\'i}az Ramos, Antonio and Mazza, Nadia},
  title = {A geometric approach to {Quillen}'s conjecture},
  journal = {Journal of Group Theory}, volume = {25}, number = {1},
  pages = {91--112}, year = {2022}, doi = {10.1515/jgth-2021-0033},
  eprint = {2005.02658}, archivePrefix = {arXiv}
}

@article{PitermanWelker2024,
  author = {Piterman, Kevin Iv{\'a}n and Welker, Volkmar},
  title = {Homotopy properties of the complex of frames of a unitary space},
  journal = {Journal of the London Mathematical Society},
  volume = {110}, number = {3}, pages = {e12978}, year = {2024},
  doi = {10.1112/jlms.12978}, eprint = {2208.12626}, archivePrefix = {arXiv},
  note = {arXiv version 2, 4 May 2023},
  url = {https://arxiv.org/abs/2208.12626v2}
}

@article{Robinson2004,
  author = {Robinson, Alan},
  title = {Partition complexes, duality and integral tree representations},
  journal = {Algebraic \& Geometric Topology}, volume = {4},
  pages = {943--960}, year = {2004}, doi = {10.2140/agt.2004.4.943},
  eprint = {math/0410555}, archivePrefix = {arXiv}
}

@article{Stanley1982,
  author = {Stanley, Richard P.},
  title = {Some aspects of groups acting on finite posets},
  journal = {Journal of Combinatorial Theory, Series A}, volume = {32},
  pages = {132--161}, year = {1982}, doi = {10.1016/0097-3165(82)90017-6}
}

@article{MilnorMoore1965,
  author = {Milnor, John W. and Moore, John C.},
  title = {On the structure of {Hopf} algebras},
  journal = {Annals of Mathematics}, series = {2},
  volume = {81}, number = {2}, pages = {211--264}, year = {1965},
  doi = {10.2307/1970615}
}

@article{GolodShafarevich1964,
  author = {Golod, Evgenii S. and Shafarevich, Igor R.},
  title = {On the class field tower},
  journal = {Izvestiya Akademii Nauk SSSR, Seriya Matematicheskaya},
  volume = {28}, number = {2}, pages = {261--272}, year = {1964},
  note = {In Russian}, url = {https://www.mathnet.ru/eng/im2955}
}

@article{Bjorner1984,
  author = {Bj{\"o}rner, Anders},
  title = {Some combinatorial and algebraic properties of {Coxeter} complexes and {Tits} buildings},
  journal = {Advances in Mathematics}, volume = {52}, number = {3},
  pages = {173--212}, year = {1984}, doi = {10.1016/0001-8708(84)90021-5}
}

@incollection{Solomon1969,
  author = {Solomon, Louis},
  title = {The {Steinberg} character of a finite group with {BN}-pair},
  booktitle = {Theory of Finite Groups},
  editor = {Brauer, Richard and Sah, Chih-Han},
  publisher = {W. A. Benjamin}, address = {New York},
  pages = {213--221}, year = {1969},
  note = {Proceedings of the Harvard symposium, 1968}
}

@article{Steinberg1960,
  author = {Steinberg, Robert},
  title = {Automorphisms of finite linear groups},
  journal = {Canadian Journal of Mathematics}, volume = {12},
  pages = {606--615}, year = {1960}, doi = {10.4153/CJM-1960-054-6}
}

@book{Taylor1992,
  author = {Taylor, Donald E.}, title = {The Geometry of the Classical Groups},
  series = {Sigma Series in Pure Mathematics}, volume = {9},
  publisher = {Heldermann Verlag}, address = {Berlin}, year = {1992},
  isbn = {3-88538-009-9},
  note = {Author's electronic text with corrections, April 2021},
  url = {https://www.maths.usyd.edu.au/u/don/papers/gcg.pdf}
}

@misc{MilneFields2022,
  author = {Milne, James S.}, title = {Fields and {Galois} Theory},
  year = {2022}, note = {Version 5.10, September 2022},
  url = {https://www.jmilne.org/math/CourseNotes/FT.pdf}
}

@misc{MilneDescent2024,
  author = {Milne, James S.}, title = {Descent for algebraic schemes},
  year = {2024}, eprint = {2406.05550}, archivePrefix = {arXiv},
  note = {Version 1, June 8, 2024},
  url = {https://arxiv.org/abs/2406.05550v1}
}

@article{CEKT2013,
  author = {Chernousov, Vladimir and Elduque, Alberto and Knus, Max-Albert and Tignol, Jean-Pierre},
  title = {Algebraic groups of type {$D_4$}, triality, and composition algebras},
  journal = {Documenta Mathematica}, volume = {18},
  pages = {413--468}, year = {2013},
  url = {https://people.math.ethz.ch/~knus/papers/Documenta_17.pdf}
}