有限几何(英文版)

登博夫斯基所著的《有限几何（英文版）》一书 ，主题是将组合思想、几何思想、代数思想互相结合 、互相渗透、互相补充和完善形成的有限数学领域。 书中大部分章节集中在有限射影平面上。为了让该册 子的尺寸合理，作者对书中的内容作了紧缩，适合于 对其他研究领域的标准概念（比如线性代数和群理论 ）非常熟悉的读者。

Note on exposihon 1.Basic concepts 1.1 Finite incidence structures 1.2 Incidence preserving maps 1.3 Incidence matrices 1.4 Geometry of finte vector spaces 2.Designs 2.1 Combi Mtorial properties 2.2 Embeddings and extensions 2.3 Automorphisms of designs 2.4 Construction of designs 3.Projectnre and affine planes 3.1 General results 3.2 Combinatorics of finite planes 3.3 Correlations and polarities 3.4 Projectivities 4.Collineations of finite planes 4.1 Fixed elements and orders 4.2 Collineation groups 4.3 Central collineations 4.4 Groups with few orbits 5.Construction of frnite planes 5.1 Algebraic representations 5.2 Planes of typeⅣ 5.3 Planes of typeⅤ 5.4 Planes of typesⅠandⅡ 6.Inversive planes 6.1 General definitions and results 6.2 Combinatorics of finite inversive planes 6.3 Automorphisms 6.4 The known finite models 7.Appendices 7.1 Association achemes and partial designs 7.2 Hjelmslev planes 7.3 Generaliaed polygons 7.4 Finite semi-planea Bibliography Dictionary Special notations Index