论文信息 - Enumerating A3(2) Blueprints, and an Application - 字舞流文

Enumerating A3(2) Blueprints, and an Application

We present an enumeration scheme for all blueprints of an A2(p) building (with p prime). We then provide a computer based proof that the An(Q2) buildings do not conform to a blueprint for n ≥ 3.

Michael Abramson | Curtis D. Bennett

[1] Thomas Meixner,et al. The 2-Adic Affine Building of Type Ã2 and Its Finite Projections , 1985, J. Comb. Theory, Ser. A.

[2] William M. Kantor,et al. Generalized polygons, SCABs and GABs , 1986 .

[3] Kenneth H. Rosen,et al. Discrete Mathematics and its applications , 2000 .

[4] J. Tits. Groupes semi–simples complexes et géométrie projective , 1955 .

[5] Michael Abramson. Generalized Blueprints and p-adic Buildings I , 1999 .

[6] Jacques Tits,et al. Les groupes de Lie exceptionnels et leur interprétation géométrique , 1956 .

[7] Luigi A. Rosati,et al. Buildings and the Geometry of Diagrams , 1986 .

[8] Mark Ronan,et al. Lectures on Buildings , 1989 .

[9] H. Coxeter,et al. The Geometric vein : the Coxeter Festschrift , 1981 .

[10] Jacques Tits,et al. A Local Approach to Buildings , 1981 .

[11] Jacques Tits,et al. Buildings of Spherical Type and Finite BN-Pairs , 1974 .