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Finite Geometries

Peter Dembowski
Publisher: 
Springer Verlag
Publication Date: 
1997
Number of Pages: 
375
Format: 
Paperback
Series: 
Classics in Mathematics
Price: 
49.95
ISBN: 
3540617868
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 Basic concepts: Finite incidence structures; Incidence preserving maps; Incidence matrices; Geometry of finite vector spaces. Designs: Combinatorial properties; Embeddings and extensions; Automorphisms of designs; Construction of designs. Projective and affine planes: General results; Combinatorics of finite planes; Correlations and polarities; Projectivities. Collineations of finite planes: Fixed elements and orders; Collineation groups; Central collineations; Groups with few orbits. Construction of finite planes: Algebraic representations; Planes of Type IV, V ad Types I and II. Inversive planes: General definitions and results; Combinatorics of finite inversive planes; Automorphisms; The known finite models. Appendices: Associations schemes and partial designs; Hjelmslev planes; Generalized polygons; Finite semi-planes. Bibliography. Dictionary. Special notations. Index

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