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Some geometries that are almost buildings. (English) Zbl 0514.51006

MSC:
51A45 Incidence structures embeddable into projective geometries
20G15 Linear algebraic groups over arbitrary fields
20D08 Simple groups: sporadic groups
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References:
[1] Buekenhout, F., Diagrams for geometries and groups, J. combin. theory ser. A, 27, 121-151, (1979) · Zbl 0419.51003
[2] Fischer, B., Finite groups generated by 3-transpositions, (1969), University of Warwick, preprint
[3] W. M. Kantor, Generation of linear groups, collection of papers dedicated to H. S. M. Coxeter, to appear.
[4] Lyons, R., Evidence for a new finite simple group, J. algebra, 20, 540-569, (1972) · Zbl 0229.20009
[5] Ronan, M.A.; Smith, S.D., 2-local geometries for some sporadic groups, A.M.S. proc. symp. pure math., 37, 283-289, (1980) · Zbl 0478.20015
[6] J. Tits, A local characterization of buildings, collection of papers dedicated to H. S. M. Coxeter, to appear.
[7] J. Tits, unpublished.
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