@article{teraoOS,
	author = {Terao, H.},
	title={Factorizations of the {O}rlik--{S}olomon Algebras},
	journal={Advances in Mathematics},
	volume={91},
	pages={45--53},
	year={1992},
}

@Article{CMB,
 Author = {Can, Mahir Bilen},
 Title = {Irreducible representations of semisimple algebraic groups and supersolvable lattices.},
 FJournal = {Journal of Algebra},
 Journal = {J. Algebra},
 ISSN = {0021-8693},
 Volume = {351},
 Number = {1},
 Pages = {235--250},
 Year = {2012},
}

@Article{Adaricheva,
 Author = {Adaricheva, K.},
 Title = {Optimum basis of finite convex geometry},
 FJournal = {Discrete Applied Mathematics},
 Journal = {Discrete Appl. Math.},
 ISSN = {0166-218X},
 Volume = {230},
 Pages = {11--20},
 Year = {2017},
}

@Article{BjornerSCM,
 Author = {Bj{\"o}rner, Anders},
 Title = {Shellable and {Cohen}-{Macaulay} partially ordered sets},
 FJournal = {Transactions of the American Mathematical Society},
 Journal = {Trans. Am. Math. Soc.},
 ISSN = {0002-9947},
 Volume = {260},
 Pages = {159--183},
 Year = {1980},
}


@Article{Hallam-Sagan,
 Author = {Hallam, Joshua and Sagan, Bruce},
 Title = {Factoring the characteristic polynomial of a lattice},
 FJournal = {Journal of Combinatorial Theory. Series A},
 Journal = {J. Comb. Theory, Ser. A},
 ISSN = {0097-3165},
 Volume = {136},
 Pages = {39--63},
 Year = {2015},
}


@Article{Deligne,
 Author = {P. {Deligne}},
 Title = {{Les immeubles des groupes de tresses g\'en\'eralises}},
 FJournal = {{Inventiones Mathematicae}},
 Journal = {{Invent. Math.}},
 ISSN = {0020-9910},
 Volume = {17},
 Pages = {273--302},
 Year = {1972},
 Publisher = {Springer, Berlin/Heidelberg},
 Language = {French},
}

@Article{crapo-rota,
 Author = {Henry H. {Crapo} and Gian-Carlo {Rota}},
 Title = {{On the foundations of combinatorial theory. II: Combinatorial geometries}},
 FJournal = {{Studies in Applied Mathematics}},
 Journal = {{Stud. Appl. Math.}},
 ISSN = {0022-2526},
 Volume = {49},
 Pages = {109--133},
 Year = {1970},
 Publisher = {Wiley (Wiley-Blackwell), Hoboken, NJ},
}

@Article{falk-terao,
 Author = {M. {Falk} and H. {Terao}},
 Title = {{\(\beta\mathbf{nbc}\)-bases for cohomology of local systems on hyperplane complements}},
 FJournal = {{Transactions of the American Mathematical Society}},
 Journal = {{Trans. Am. Math. Soc.}},
 Volume = {349},
 Number = {1},
 Pages = {189--202},
 Year = {1997},
 Publisher = {American Mathematical Society (AMS), Providence, RI},
}

@Book{aigner,
 Author = {M. {Aigner}},
 Title = {{Combinatorial theory.}},
 FJournal = {{Classics in Mathematics}},
 Journal = {{Class. Math.}},
 Pages = {x + 484},
 Year = {1997},
 Publisher = {Berlin: Springer},
}
@article{yuzvinsky,
	author={Yuzvinsky, S.},
	title={{O}rlik--{S}olomon algebras in algebra and topology},
	journal={Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI)},
	volume={56},
	number={2(338)},
	pages={87--166},
	year={2001},
}
@article{stanley,
	author={Stanley, R. P.},
	title={Supersolvable lattices},
	journal={Algebra Universalis},
	year={1972},
	volume={2},
	number={1},
	pages={197--217},
}
@article{teraofibthm,
	author={Terao, H.},
	title={Modular elements of lattices and topological fibration},
	journal={Adv. in Math.},
	fjournal={Advances in Mathematics},
	volume={62},
	year={1986},
	number={2},
	pages={135--154},
}
@article{DR,
	author={Delucchi, E. and Riedel, S.},
	title={Group actions on semimatroids},
	journal={Adv. in Appl. Math.},
	year={2018},
	volume={95},
	pages={199--270},
}
@article{moci,
	author={Moci, L.},
	title={A {T}utte polynomial for toric arrangements},
	journal={Trans. Amer. Math. Soc.},
	year={2012},
	volume={364},
	number={2},
	pages={1067--1088},
}
@article{EdmondsFulkerson,
	author={Edmonds, J. and Fulkerson, D. R.},
	title={Transversals and matroid partition},
	journal={J. Res. Nat. Bur. Standards Sect. B},
	volume={69B},
	year={1965},
	pages={147--153},
}
@article{Hallam,
	author={Hallam, J.},
	title={Applications of {Q}uotient {P}osets},
	journal={Discrete Math.},
	year={2017},
	volume={340},
	number={4},
	pages={800--810},
}
@article{bibby,
	author={Bibby, C.},
	title={Cohomology of abelian arrangements},
	journal={Proc. Amer. Math. Soc.},
	year={2016},
	volume={144},
	number={7},
	pages={3093--3104},
}
@article{dupont,
	author={Dupont, C.},
	title={The {O}rlik--{S}olomon model for hypersurface arrangements},
	journal={Annales de l'institut Fourier},
	year={2015},
	volume={65},
	number={6},
	pages={2507--2545},
}

@misc{bibby22,
      title={Matroid schemes and geometric posets}, 
      author={Christin Bibby},
      year={2022},
      eprint={2203.15094},
      archivePrefix={arXiv},
      primaryClass={math.CO}
}

@article{brylawski,
    AUTHOR = {Brylawski, T.},
     TITLE = {Modular constructions for combinatorial geometries},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {203},
      YEAR = {1975},
     PAGES = {1--44},
      ISSN = {0002-9947},
}

@Article{ERS,
 Author = {Ehrenborg, Richard and Readdy, Margaret and Slone, MLE},
 Title = {Affine and toric hyperplane arrangements},
 FJournal = {Discrete \& Computational Geometry},
 Journal = {Discrete Comput. Geom.},
 ISSN = {0179-5376},
 Volume = {41},
 Number = {4},
 Pages = {481--512},
 Year = {2009},
}

@Article{Lawrence,
 Author = {Lawrence, Jim},
 Title = {Enumeration in torus arrangements},
 FJournal = {European Journal of Combinatorics},
 Journal = {Eur. J. Comb.},
 ISSN = {0195-6698},
 Volume = {32},
 Number = {6},
 Pages = {870--881},
 Year = {2011},
}

@Book{Birkhoff,
 Author = {Birkhoff, Garrett},
 Title = {Lattice theory. {Corr}. repr. of the 1967 3rd ed},
 FSeries = {Colloquium Publications. American Mathematical Society},
 Series = {Colloq. Publ., Am. Math. Soc.},
 ISSN = {0065-9258},
 Volume = {25},
 Year = {1979},
 Publisher = {American Mathematical Society (AMS), Providence, RI},
 Language = {English},
 Keywords = {06-02},
 zbMATH = {3796014},
 Zbl = {0505.06001}
}

@article{dD,
    AUTHOR = {D'Al\`{i}, A. and Delucchi, E.},
     TITLE = {Stanley-{R}eisner rings for symmetric simplicial complexes,
              {$G$}-semimatroids and {A}belian arrangements},
   JOURNAL = {J. Comb. Algebra},
  FJOURNAL = {Journal of Combinatorial Algebra},
    VOLUME = {5},
      YEAR = {2021},
    NUMBER = {3},
     PAGES = {185--236},
      ISSN = {2415-6302},
}

@article{BG,
    author = {Bibby, C. and Gadish, N.},
    title = {Combinatorics of orbit configuration spaces},
    journal = {Int. Math. Res. Not. IMRN},
    year = {2021},
}

@article{dowling,
    AUTHOR = {Dowling, T. A.},
     TITLE = {A class of geometric lattices based on finite groups},
   JOURNAL = {J. Combinatorial Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {14},
      YEAR = {1973},
     PAGES = {61--86},
      ISSN = {0095-8956},
}

@article{WW,
    AUTHOR = {Wachs, M. L. and Walker, J. W.},
     TITLE = {On geometric semilattices},
   JOURNAL = {Order},
  FJOURNAL = {Order},
    VOLUME = {2},
      YEAR = {1986},
    NUMBER = {4},
     PAGES = {367--385},
      ISSN = {0167-8094},
}

@article{stanley-modular,
    AUTHOR = {Stanley, R. P.},
     TITLE = {Modular elements of geometric lattices},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {1},
      YEAR = {1971/72},
     PAGES = {214--217},
      ISSN = {0002-5240},
}

@article{LTY,
    AUTHOR = {Liu, Y. and Tran, T. N. and Yoshinaga, M.},
     TITLE = {{$G$}-{T}utte polynomials and abelian {L}ie group
              arrangements},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {152--190},
      ISSN = {1073-7928},
}

@article{FN,
    AUTHOR = {Fadell, E. and Neuwirth, L.},
     TITLE = {Configuration spaces},
   JOURNAL = {Math. Scand.},
  FJOURNAL = {Mathematica Scandinavica},
    VOLUME = {10},
      YEAR = {1962},
     PAGES = {111--118},
      ISSN = {0025-5521},
}

@article{FR,
    AUTHOR = {Falk, M. and Randell, R.},
     TITLE = {The lower central series of a fiber-type arrangement},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {82},
      YEAR = {1985},
    NUMBER = {1},
     PAGES = {77--88},
      ISSN = {0020-9910},
}

@article{cohen,
    AUTHOR = {Cohen, D. C.},
     TITLE = {Monodromy of fiber-type arrangements and orbit configuration
              spaces},
   JOURNAL = {Forum Math.},
  FJOURNAL = {Forum Mathematicum},
    VOLUME = {13},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {505--530},
      ISSN = {0933-7741},
}

@article{TomZ,
    AUTHOR = {Zaslavsky, T.},
     TITLE = {A combinatorial analysis of topological dissections},
   JOURNAL = {Advances in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {25},
      YEAR = {1977},
    NUMBER = {3},
     PAGES = {267--285},
      ISSN = {0001-8708},
}

@article{ziegler,
    AUTHOR = {Ziegler, G. M.},
     TITLE = {Binary supersolvable matroids and modular constructions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {113},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {817--829},
      ISSN = {0002-9939},
}

@incollection{cohen-config,
    AUTHOR = {Cohen, F. R.},
     TITLE = {Introduction to configuration spaces and their applications},
 BOOKTITLE = {Braids},
    SERIES = {Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.},
    VOLUME = {19},
     PAGES = {183--261},
 PUBLISHER = {World Sci. Publ., Hackensack, NJ},
      YEAR = {2010},
}

@book{MKS,
    AUTHOR = {Magnus, W. and Karrass, A. and Solitar, D.},
     TITLE = {Combinatorial group theory: {P}resentations of groups in terms
              of generators and relations},
 PUBLISHER = {Interscience Publishers [John Wiley \& Sons, Inc.], New
              York-London-Sydney},
      YEAR = {1966},
     PAGES = {xii+444},
}

@book{OT,
    AUTHOR = {Orlik, P. and Terao, H.},
     TITLE = {Arrangements of hyperplanes},
    SERIES = {Grundlehren der mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {300},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1992},
     PAGES = {xviii+325},
      ISBN = {3-540-55259-6},
}

@article{kohno,
    AUTHOR = {Kohno, T.},
     TITLE = {S\'{e}rie de {P}oincar\'{e}-{K}oszul associ\'{e}e aux groupes de tresses
              pures},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {82},
      YEAR = {1985},
    NUMBER = {1},
     PAGES = {57--75},
      ISSN = {0020-9910},
}

@article{OS,
    AUTHOR = {Orlik, P. and Solomon, L.},
     TITLE = {Combinatorics and topology of complements of hyperplanes},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {56},
      YEAR = {1980},
    NUMBER = {2},
     PAGES = {167--189},
      ISSN = {0020-9910},
}

@book{X,
    AUTHOR = {Xicotencatl Merino, M. A.},
     TITLE = {Orbit configuration spaces, infinitesimal braid relations in
              homology and equivariant loop spaces},
      NOTE = {Thesis (Ph.D.)--University of Rochester},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1997},
     PAGES = {116},
      ISBN = {978-0591-37428-5},
}

@article{CT,
   AUTHOR = {Cohen, F. R. and Taylor, L. R.},
     TITLE = {Configuration spaces: applications to {G}elfand-{F}uks
              cohomology},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {84},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {134--136},
      ISSN = {0002-9904},
}

@article{paris,
    AUTHOR = {Paris, L.},
     TITLE = {Intersection subgroups of complex hyperplane arrangements},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
    VOLUME = {105},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {319--343},
      ISSN = {0166-8641},
}

@incollection{brieskorn,
    AUTHOR = {Brieskorn, E.},
     TITLE = {Sur les groupes de tresses [d'apr\`es {V}. {I}. {A}rnol'd]},
 BOOKTITLE = {S\'{e}minaire {B}ourbaki, 24\`eme ann\'{e}e (1971/1972), {E}xp. {N}o.
              401},
     PAGES = {21--44. Lecture Notes in Math., Vol. 317},
      YEAR = {1973},
}

@article{BD,
author = {Bibby, C. and Delucchi, E.},
title = {Supersolvable posets and fiber-type abelian arrangements},
year={2022},
eprint={2202.11996},
}