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Finite Geometries : Classics in Mathematics - Peter Dembowski

Finite Geometries

Classics in Mathematics

Paperback Published: February 1997
ISBN: 9783540617860
Number Of Pages: 379

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Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries", brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and also left its trace in neighbouring areas.

"Such a vast amount of information as this book contains can only be accomplished in 375 pages by a very economical style of writing... it enables one to have a good look at the forest without being too detracted by the individual trees... The author deserves unstinting praise for the skill, energy, and perseverance which he devoted to this work. The finished product confirms what his many earlier contributions to the subject of finite geometry have already indicated, namely, that he is an undisputed leader in his field." -Mathematical Reviews

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
Associations schemes and partial designs
Hjelmslev planes
Generalized polygons
Finite semi-planes
Bibliography
Dictionary
Special notations
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540617860
ISBN-10: 3540617868
Series: Classics in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 379
Published: February 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.72 x 15.82  x 2.39
Weight (kg): 0.6

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