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The basic diagram of a geometry

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Geometries and Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 893))

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References

  1. Buekenhout, F. Diagrams for geometries and groups. J. Comb. Th. (A) 27 (1979), 121–151.

    Article  MathSciNet  MATH  Google Scholar 

  2. Buekenhout, F. Separation and dimension in a graph. Geo. Ded. 8 (1979), 291–298.

    MathSciNet  MATH  Google Scholar 

  3. Buekenhout, F. The geometry of diagrams. Geo. Ded. 8 (1979), 253–257

    MathSciNet  MATH  Google Scholar 

  4. Buekenhout, F. The geometry of diagrams. Proc. Symp. Pure Math. vol. 34, AMS (1979), 69–75.

    Article  MathSciNet  MATH  Google Scholar 

  5. Buekenhout, F. (g,d*,d)-gons. Proceedings conference in honor of T. Ostrom. Pullman 1981 (to appear)

    Google Scholar 

  6. Cohen, A. On the points and lines of metasymplectic spaces. (to appear)

    Google Scholar 

  7. Cooperstein, B. A characterization of some Lie incidence structures. Geo. Ded. 6 (1977), 205–258.

    MathSciNet  MATH  Google Scholar 

  8. Fischer, B. Finite groups generated by 3-transpositions. Invent. Math. 13 (1971), 232–246.

    Article  MathSciNet  MATH  Google Scholar 

  9. Guillite, S. and Percsy-Lefèvre, Ch. Pliages de géométries minces. Geo. Ded. (to appear)

    Google Scholar 

  10. Hall, M. Projective planes. Trans. Amer. Math. Soc. 54 (1943), 229–277.

    Article  MathSciNet  MATH  Google Scholar 

  11. Kantor, W.M. Locally polar lattices. Journ. Comb. Th. (A) 26 (1979) 90–95.

    Article  MathSciNet  MATH  Google Scholar 

  12. Kantor, W.M. Some geometries that are almost buildings. (to appear)

    Google Scholar 

  13. Kegel, O. and Schleiermacher, A. Amalgams and embeddings of projective planes. Geo. Ded. 2 (1973), 379–395.

    MathSciNet  MATH  Google Scholar 

  14. Moore, E.H. Tactical Memoranda. Amer. J. Math. 18 (1896) 264–303.

    Article  MathSciNet  MATH  Google Scholar 

  15. Neumaier, A. Rectagraphs, diagrams and Suzuki's sporadic simple group. (to appear).

    Google Scholar 

  16. Ott, U. Bericht über Hecke Algebren und Coxeter Algebren endlicher Geometrien. Finite Geometries and Designs. Ed. by Cameron, Hirschfeld, Hughes. Cambridge U.P. 1981 p. 260–271.

    Google Scholar 

  17. Pasini, A. Diagrams and incidence structures. Preprint. Rapporto matematico n.21, Istituto di Mat, Univ. Siena, 1980

    Google Scholar 

  18. Percsy, N. Plongement de géométries. Thesis Univ. Bruxelles, 1980.

    Google Scholar 

  19. Percsy, N. Embedding geometric lattices in a projective space. “Finite geometries and designs” Ed. by Cameron, Hirschfeld, Hughes. Cambridge U.P. 1981, p. 304–315.

    Google Scholar 

  20. Ronan, M. Coverings and automorphisms of chamber systems. Europ. J. Comb. 1 (1980), 259–269.

    Article  MathSciNet  MATH  Google Scholar 

  21. Ronan, M. Coverings of certain finite geometries. Finite geometries and designs. Ed. by Cameron, Hirschfeld, Hughes. Cambridge U.P. 1981, p. 316–331.

    Google Scholar 

  22. Ronan, M. and Smith, S. 2-local geometries for some sporadic groups. Proc. Symp. Pure Math. vol. 37. AM.S. 1981

    Google Scholar 

  23. Sprague, A. Rank 3 incidence structures admitting dual-linear, linear diagram. (to appear).

    Google Scholar 

  24. Tallini, G. On a characterization of the Grassman manifold representing the lines in a projective space “Finite Geometries and Designs”. Ed. by Cameron, Hirschfeld, Hughes. Cambridge U.P. (1981), 354–358.

    Google Scholar 

  25. Tits, J. Les groupes de Lie exceptionnels et leur interprétation géométrique. Bull. Soc. Math. Belg. 8 (1956), 48–81.

    MathSciNet  MATH  Google Scholar 

  26. Tits, J. Sur la trialité et certains groupes qui s'en déduisent. Publ. Math. I.H.E.S. 2 (1959), 14–60.

    Article  MATH  Google Scholar 

  27. Tits, J. Buildings of spherical type and finite BN-pairs. Lecture Notes in Math, 386, Springer-Verlag, Berlin, 1974.

    MATH  Google Scholar 

  28. Tits, J. Classification of buildings of spherical type and Moufang polygons: a Survey. Atti Convegni Lincei 17 Roma (1976), 229–246.

    MathSciNet  MATH  Google Scholar 

  29. Tits, J. Buildings and Buekenhout Geometries. “Finite Simple Groups II” ed. M. Collins, Academic Press, New York, 1981, 309–320

    Google Scholar 

  30. Tits, J. A local characterization of buildings. Collection of papers dedicated to H.S.M. Coxeter (to appear).

    Google Scholar 

  31. Valette, A. Direct sums of Tits geometries. Simon Stevin (to appear)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics CP.216, Université Libre de Bruxelles, 1050, Bruxelles, Belgium

    Francis Buekenhout

Authors
  1. Francis Buekenhout
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Martin Aigner Dieter Jungnickel

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© 1981 Springer-Verlag

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Buekenhout, F. (1981). The basic diagram of a geometry. In: Aigner, M., Jungnickel, D. (eds) Geometries and Groups. Lecture Notes in Mathematics, vol 893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091010

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  • DOI: https://doi.org/10.1007/BFb0091010

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11166-5

  • Online ISBN: 978-3-540-38639-1

  • eBook Packages: Springer Book Archive

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