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 . 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 elemensndrders 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