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Finite Projective Spaces of Three Dimensions : Oxford Mathematical Monographs - J. W. P. Hirschfeld

Finite Projective Spaces of Three Dimensions

Oxford Mathematical Monographs

Hardcover

Published: 9th January 1986
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This self-contained and highly detailed study considers projective spaces of three dimensions over a finite field. It is the second and core volume of a three-volume treatise on finite projective spaces, the first volume being Projective Geometrics Over Finite Fields (OUP, 1979). The present work restricts itself to three dimensions, and considers both topics which are analogous of geometry over the complex numbers and topics that arise out of the modern theory of incidence structures. The book also examines properties of four and five dimensions, fundamental applications to translation planes, simple groups, and coding theory.

Lines
Ovaloids and Quadrics
Spans, Spreads, and Packings
k-Caps
Hermitian Surfaces
Cubic Surfaces with 27 Lines
Twisted Cubics and k-Arcs
Order of and Isomorphisms among the Semi-Linear Groups
The Numbe of Points on an Algebraic Variety
Errata for Projective geometries over finite fields (OUP, 1979)
Bibliography
Index of Notation
Author Index
General Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780198535362
ISBN-10: 0198535368
Series: Oxford Mathematical Monographs
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 326
Published: 9th January 1986
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.2 x 16.0  x 2.1
Weight (kg): 0.67