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Some sporadic geometries related to PG(3,2). (English) Zbl 0509.05026

MSC:
05B25 Combinatorial aspects of finite geometries
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
51E25 Other finite nonlinear geometries
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[1] M.Aschbacher and S. D.Smith, Tits geometries over GF(2) defined by groups over GF(3) (to appear). · Zbl 0518.51007
[2] F. Buekenhout, The basic diagram of a geometry. In: Geometries and Groups. LNM893, 1-29 (1981). · Zbl 0491.51011
[3] F. C. Bussemaker andJ. J. Seidel, Symmetric Hadamard matrices of order 36. Ann. N.Y. Acad. Sci.175, 66-79 (1970). · Zbl 0239.05010
[4] A. R. Caldebbank andD. B. Wales, A global code invariant under the Higman-Sims group. J. Algebra75, 233-260 (1982). · Zbl 0492.20011
[5] P. J. Cameron andD. A. Drake, Partial ?-geometries of small nexus. Ann. Discr. Math.6, 19-29 (1980). · Zbl 0448.05015
[6] J. H.Conway, Three lectures on exceptional groups. In: Finite Simple Groups, 215-247, New York 1971.
[7] R. T. Curtis, The subgroups of. 0, Part I. Lattice stabilizers. J. Algebra27, 549-573 (1973). · Zbl 0297.20028
[8] D. A. Drake, Partial ?-geometries and generalized Hadamard matrices over groups. Canad. J. Math.31, 617-627 (1979). · Zbl 0406.05018
[9] W.Haemers, Eigenvalue Techniques in Design and Graph Theory. Math. Centre Tracts121, Math. Centrum Amsterdam 1980. · Zbl 0429.05013
[10] A. J. Hoffman andR. R. Singleton, On Moore graphs of diameter 2 and 3. IBM J. Res. Develop.4, 497-504 (1960). · Zbl 0096.38102
[11] W. M. Kantor, Some geometries that are almost buildings. Europ. J. Combinatorics2, 239-247 (1981). · Zbl 0514.51006
[12] W. M.Kantor, Some exceptional 2-adic buildings (to appear). · Zbl 0562.51006
[13] F. J.MacWilliams and N. J. A.Sloane, The Theory of Error-Correcting Codes. Amsterdam 1978. · Zbl 0369.94008
[14] A. Neumaier, Regular cliques in graphs and special 1 1/2-designs. In: Finite Geometries and Designs. London Math. Soc. Lecture Note Series49, 244-259 (1981).
[15] M. A. Ronan andS. D. Smith, 2-local geometries for some sporadic groups. AMS Proc. Symp. Pure Math.37, 283-289 (1980). · Zbl 0478.20015
[16] E. Shult andA. Yanushka, Nearn-gons and line systems. Geom. Dedicata9, 1-72 (1980). · Zbl 0433.51008
[17] D. E. Taylor, Regular 2-graphs. Proc. London Math. Soc. (3)35, 257-274 (1977). · Zbl 0362.05065
[18] J.Tits, A local approach to buildings. In: The Geometric Vein, 215-247, New York-Heidelberg-Berlin 1981.
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