Thin geometries for the Suzuki simple group Sz(8)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 5, Issue 2-3, 1998, Pages 373-387

  Leemans, Dimitri ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Group theory; Incidence geometry

Indexed keywords

EID: 0040712555     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1103409017     Document Type: Article

References (19)

1. W. Bosma, J. Cannon, and C. Playoust. The Magma Algebra System I: the user language. J. Symbolic Comput., 3/4:235-265, 1997.
2. F. Buekenhout. Diagrams for geometries and groups. J. Combin. Theory A, 27:121-151, 1979.
3. F. Buekenhout. (g, d, d*)-gons. In N. L. Johnson, M. J. Kallaher, and C. T. Long, editors, Finite Geometries, pages 93-102, New York, 1983. Marcel Dekker.
4. F. Buekenhout, editor. Handbook of Incidence Geometry. Elsevier, Amsterdam, 1995.
5. F. Buekenhout, P. Cara, and M. Dehon. Geometries of small almost simple groups based on maximal subgroups. Bull. Belg. Math. Soc. - Simon Stevin Suppl., 1998.
6. F. Buekenhout, M. Dehon, and D. Leemans. An Atlas of residually weakly primitive geometries for small groups. Mém. Acad. Royale Belg., Classe des Sciences, 1996. To appear.
7. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson. Atlas of Finite Groups. Oxford U.P., 1985.
8. H. S. M. Coxeter. Regular Polytopes. 3rd. Ed. Dover, New York, 1973.
9. M. Dehon. Classifying geometries with Cayley. J. Symbolic Comput., 17:259-276, 1994.
10. 1. In Di-Martino L., Kantor W. E., Lunardon G., Pasini A., and Tamburini M.C., editors, Groups and Geometries, pages 83-98. Birkhäuser, 1998.
11. D. Leemans. An atlas of regular thin geometries for small groups. Preprint, 1997.
12. D. Leemans. The residually weakly primitive geometries of the Suzuki simple group Sz(8). Preprint, 1997.
13. D. Leemans. The rank 2 geometries of the simple Suzuki groups Sz(q). Beiträge zur Algebra und Geometrie, 39(1):97-120, 1998.
14. C. Lefèvre-Percsy, N. Percsy, and D. Leemans. New geometries for finite groups. Preprint, 1997.
15. A. Neumaier. Rectagraphs, diagrams, and Suzuki's sporadic simple group. In E. Mendelsohn, editor, Algebraic and Geometric Combinatorics, volume 15 of Ann. Discrete Math., pages 305-318, 1982.
16. B. Nostrand and E. Schulte. Chiral polytopes from hyperbolic honeycombs. Discrete Comput. Geom., 13:17-39, 1995.
17. E. Schulte and A. I. Weiss. Chiral polytopes. In Applied Geometry and Discrete Mathematics. The Victor Klee Festschrift. Editors: P. Gritzmann and B. Sturmfels, DIMACS Series, AMS-ACM, 4:493-516, 1991.
18. E. Schulte and A. I. Weiss. Chirality and projective linear groups. Discrete Math., 131:221-261, 1994.
19. J. Tits. Géométries polyédriques et groupes simples. Atti 2a Riunione Groupem. Math. Express. Lat. Firenze, pages 66-88, 1962.