Centering small generalized polygons-projective pottery at work

Discrete Mathematics

Volumn 256, Issue 1-2, 2002, Pages 373-386

  Polster, Burkard ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

Generalized hexagon; Generalized polygon; Generalized quadrangle; Models of geometries

Indexed keywords

EID: 31244437102     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(02)00530-7     Document Type: Article

References (16)

1. N. Biggs, Three remarkable graphs, Canad. J. Math. 25 (1973) 391-411.
2. A.E. Brouwer, The complement of a geometric hyperplane in a generalized polygon is usually connected, in: F. de Clerck et al. (Eds.), Finite Geometry and Combinatorics, London Mathematical Society, Deinze, 1992, Lecture Notes Series, Vol. 191, Cambridge University Press, Cambridge, 1993, pp. 53-57.
3. A.M. Cohen, J. Tits, On generalized hexagons and a near octagon whose lines have three points, European J. Combin. 6 (1985) 13-27.
4. H.S.M. Coxeter, My graph, Proc. London Math. Soc. 46 (1983) 117-136.
5. W. Feit, G. Higman, The nonexistence of certain generalized polygons, J. Algebra 1 (1964) 114-131.
6. J.W.P. Hirschfeld, Finite Projective Spaces of Three Dimensions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1985.
7. D. Jungnickel, K. Vedder, On the geometry of planar difference sets, European J. Combin. 5 (1984) 143-148.
8. S.E. Payne, J.A. Thas, Finite generalized quadrangles, Research Notes in Mathematics, Vol. 110, Pitman, Boston, 1984.
9. G. Pickert, Von der Desargues-Konfiguration zum 5-dimensionalen projektiven Raum mit 63 Punkten, Math. Semesterber. 29 (1982) 51-67.
10. G. Pickert, Differenzenmengen und Ovale, Discrete Math. 73 (1989) 247-256.
11. G. Pickert, Doppelebenen und loops, J. Geom. 41 (1991) 133-144.
12. B. Polster, A Geometrical Picture Book, Universitext Series, Springer, New York, 1998.
13. A.E. Schroth, How to draw a Hexagon, Discrete Math. 199 (1999) 61-71.
14. J.A. Thas, Generalized polygons, in: F. Buekenhout (Ed.), Handbook of Incidence Geometry, North-Holland, Amsterdam, 1995, pp. 383-431.
15. J. Tits, Sur la tialité et certains groupes qui s'en déduisent, Inst. Hautes Études Sci. Publ. Math. 2 (1959) 13-60.
16. H. Van Maldeghem, Generalized Polygons, Birkhäuser, Basel, 1998.