@article{BasterraMandell2013,
  author = {Basterra, Maria and Mandell, Michael A.},
  title = {The multiplication on {BP}},
  journal = {Journal of Topology},
  volume = {6},
  number = {2},
  year = {2013},
  pages = {285--310},
  doi = {10.1112/jtopol/jts032},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/basterra-mandell.pdf}
}

@article{CulverZhang2024,
  author = {Culver, Dominic Leon and Zhang, Ningchuan},
  title = {Exotic {Picard} groups and chromatic vanishing via the {Gross--Hopkins} duality},
  journal = {Topology and its Applications},
  volume = {341},
  year = {2024},
  pages = {108742},
  doi = {10.1016/j.topol.2023.108742},
  eprint = {2203.09455v3},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  url = {https://arxiv.org/abs/2203.09455v3},
  note = {The cited Remark 3.29 is in the September 30, 2023 preprint version}
}

@article{Nave2010,
  author = {Nave, Lee S.},
  title = {The {Smith--Toda} complex {$V((p+1)/2)$} does not exist},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {171},
  number = {1},
  year = {2010},
  pages = {491--509},
  doi = {10.4007/annals.2010.171.491},
  url = {https://annals.math.princeton.edu/2010/171-1/p10}
}

@book{Ravenel2004,
  author = {Ravenel, Douglas C.},
  title = {Complex Cobordism and Stable Homotopy Groups of Spheres},
  edition = {Second},
  publisher = {AMS Chelsea Publishing},
  address = {Providence, RI},
  year = {2004},
  note = {Author's revised second-edition PDF, uploaded April 29, 2026; accessed September 23, 2026},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/mybooks/ravenel.pdf}
}

@article{Toda1967,
  author = {Toda, Hirosi},
  title = {An important relation in homotopy groups of spheres},
  journal = {Proceedings of the Japan Academy},
  volume = {43},
  number = {9},
  year = {1967},
  pages = {839--842},
  doi = {10.3792/pja/1195521423},
  url = {https://www.jstage.jst.go.jp/article/pjab1945/43/9/43_9_839/_article}
}

@article{Toda1968,
  author = {Toda, Hirosi},
  title = {Extended {$p$}-th powers of complexes and applications to homotopy theory},
  journal = {Proceedings of the Japan Academy},
  volume = {44},
  number = {4},
  year = {1968},
  pages = {198--203},
  doi = {10.3792/pja/1195521243},
  url = {https://www.jstage.jst.go.jp/article/pjab1945/44/4/44_4_198/_article/-char/ja/}
}

@article{Toda1971,
  author = {Toda, Hirosi},
  title = {On spectra realizing exterior parts of the {Steenrod} algebra},
  journal = {Topology},
  volume = {10},
  number = {1},
  year = {1971},
  pages = {53--65},
  doi = {10.1016/0040-9383(71)90017-6},
  url = {https://www.sciencedirect.com/science/article/pii/0040938371900176}
}

@article{MathewNaumannNoel2017,
  author = {Mathew, Akhil and Naumann, Niko and Noel, Justin},
  title = {Nilpotence and descent in equivariant stable homotopy theory},
  journal = {Advances in Mathematics},
  volume = {305},
  pages = {994--1084},
  year = {2017},
  doi = {10.1016/j.aim.2016.09.027},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/MMN17.pdf}
}

@article{Adams1966,
  author = {Adams, J. F.},
  title = {On the groups {$J(X)$}. {IV}},
  journal = {Topology}, volume = {5}, year = {1966}, pages = {21--71},
  doi = {10.1016/0040-9383(66)90004-8}
}

@article{Smith1970,
  author = {Smith, Larry},
  title = {On realizing complex bordism modules. {Applications} to the stable homotopy of spheres},
  journal = {American Journal of Mathematics}, volume = {92}, number = {4},
  year = {1970}, pages = {793--856}, doi = {10.2307/2373397}
}

@article{Novikov1967,
  author = {Novikov, S. P.},
  title = {The methods of algebraic topology from the viewpoint of cobordism theory},
  journal = {Mathematics of the USSR-Izvestiya}, volume = {1}, number = {4},
  year = {1967}, pages = {827--913}, doi = {10.1070/IM1967v001n04ABEH000591},
  url = {https://www.mathnet.ru/eng/im2568}
}

@misc{HoveyShipleySmith1998v2,
  author = {Hovey, Mark and Shipley, Brooke and Smith, Jeff},
  title = {Symmetric spectra}, year = {1998},
  eprint = {math/9801077v2}, archivePrefix = {arXiv}, primaryClass = {math.AT},
  url = {https://arxiv.org/pdf/math/9801077v2},
  note = {Version 2, March 4, 1998; cited theorem numbers and pagination refer to this version}
}

@book{ElmendorfKrizMandellMay1997,
  author = {Elmendorf, A. D. and Kriz, I. and Mandell, M. A. and May, J. P.},
  title = {Rings, Modules, and Algebras in Stable Homotopy Theory},
  series = {Mathematical Surveys and Monographs}, volume = {47},
  publisher = {American Mathematical Society}, year = {1997},
  doi = {10.1090/surv/047},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/EKMM.pdf},
  note = {Locators refer to the linked author-distributed version}
}

@book{SteenrodEpstein1962,
  author = {Steenrod, N. E.}, title = {Cohomology Operations},
  note = {Lectures written and revised by D. B. A. Epstein},
  series = {Annals of Mathematics Studies}, number = {50},
  publisher = {Princeton University Press}, address = {Princeton, NJ}, year = {1962},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/steenrod-epstein.pdf}
}

@article{LeeRavenel1994,
  author = {Lee, Chun-Nip and Ravenel, Douglas C.},
  title = {On the nilpotence order of {$\beta_1$}},
  journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  volume = {115}, number = {3}, year = {1994}, pages = {483--488},
  doi = {10.1017/S0305004100072248},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/mypapers/lee.pdf},
  note = {Linked author preprint dated April 1993}
}

@article{HopkinsSmith1998,
  author = {Hopkins, Michael J. and Smith, Jeffrey H.},
  title = {Nilpotence and stable homotopy theory {II}},
  journal = {Annals of Mathematics}, series = {2}, volume = {148},
  number = {1}, year = {1998}, pages = {1--49}, doi = {10.2307/120991},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/HS.pdf}
}

@article{Schwede2001,
  author = {Schwede, Stefan}, title = {{$S$}-modules and symmetric spectra},
  journal = {Mathematische Annalen}, volume = {319}, year = {2001},
  pages = {517--532}, url = {https://www.math.uni-bonn.de/~schwede/comparison.pdf}
}

@article{MandellMaySchwedeShipley2001,
  author = {Mandell, M. A. and May, J. P. and Schwede, S. and Shipley, B.},
  title = {Model categories of diagram spectra},
  journal = {Proceedings of the London Mathematical Society}, series = {3},
  volume = {82}, number = {2}, year = {2001}, pages = {441--512},
  doi = {10.1112/S0024611501012692},
  url = {https://homepages.math.uic.edu/~bshipley/MMSS.pdf}
}

@article{BrownPeterson1966,
  author = {Brown, Jr., Edgar H. and Peterson, Franklin P.},
  title = {A spectrum whose {$Z_p$} cohomology is the algebra of reduced {$p$}th powers},
  journal = {Topology}, volume = {5}, number = {2}, year = {1966},
  pages = {149--154}, doi = {10.1016/0040-9383(66)90015-2}
}

@article{Quillen1969,
  author = {Quillen, Daniel},
  title = {On the formal group laws of unoriented and complex cobordism theory},
  journal = {Bulletin of the American Mathematical Society}, volume = {75},
  number = {6}, year = {1969}, pages = {1293--1298},
  doi = {10.1090/S0002-9904-1969-12401-8}
}

@article{HazewinkelIII,
  author = {Hazewinkel, Michiel},
  title = {Constructing formal groups {III}: Applications to complex cobordism and {Brown--Peterson} cohomology},
  journal = {Journal of Pure and Applied Algebra}, volume = {10}, number = {1},
  year = {1977}, pages = {1--18}, doi = {10.1016/0022-4049(77)90026-3}
}

@article{May1966,
  author = {May, J. P.},
  title = {The cohomology of restricted {Lie} algebras and of {Hopf} algebras},
  journal = {Journal of Algebra}, volume = {3}, year = {1966},
  pages = {123--146}, doi = {10.1016/0021-8693(66)90009-3}
}

@article{McClureSmith2004,
  author = {McClure, James E. and Smith, Jeffrey H.},
  title = {Cosimplicial objects and little {$n$}-cubes. {I}},
  journal = {American Journal of Mathematics}, volume = {126}, number = {5},
  year = {2004}, pages = {1109--1153},
  eprint = {math/0211368v2}, archivePrefix = {arXiv}, primaryClass = {math.QA},
  url = {https://arxiv.org/pdf/math/0211368v2},
  note = {Cited construction locators refer to arXiv version 2, February 7, 2004}
}

@techreport{Jantzen1985,
  author = {Jantzen, Jens Carsten},
  title = {Representations of Algebraic Groups {I}},
  institution = {Max-Planck-Institut f{\"u}r Mathematik},
  type = {SFB/MPI preprint},
  number = {85-9},
  year = {1985},
  url = {https://archive.mpim-bonn.mpg.de/607/1/preprint_1985_9.pdf}
}

@misc{KatoShimomuraShimomura2025,
  author = {Kato, Ryo and Shimomura, Katsumi and Shimomura, Mao-no-suke},
  title = {A note on the {Greek} letter elements of the homotopy of the
           {$L_n$}-local spheres},
  year = {2025},
  eprint = {2507.02155v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  url = {https://arxiv.org/abs/2507.02155v1},
  note = {Version 1, July 2, 2025}
}