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Finite Projective Spaces of Three Dimensions (Oxford Mathematical Monographs)

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Publisher Comments:

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.

Description:

Includes bibliographical references (p. [279]-302) and indexes.

Table of Contents

15. Lines

16. Ovaloids and Quadrics

17. Spans, Spreads, and Packings

18. k-Caps

19. Hermitian Surfaces

20. Cubic Surfaces with 27 Lines

21. Twisted Cubics and k-Arcs

Appendix III. Order of and Isomorphisms among the Semi-Linear Groups

Appendix IV. The Numbe of Points on an Algebraic Variety

Appendix V. Errata for Projective geometries over finite fields (OUP, 1979)

Bibliography

Index of Notation

Author Index

General Index

Product Details

ISBN:
9780198535362
Author:
Hirschfeld, J. W. P.
Publisher:
Oxford University Press, USA
Author:
Hirschfeld
Author:
Hirschfield, J. W.
Author:
null, J. W. P.
Location:
Oxford :
Subject:
Geometry - General
Subject:
Finite Mathematics
Subject:
Projective spaces.
Subject:
ite Mathematics
Subject:
Mathematics | Pure Mathematics
Subject:
Combinatorics
Subject:
Mathematics-Geometry and Trigonometry
Series:
Oxford mathematical monographs
Series Volume:
v. 1
Publication Date:
19860231
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
21 illus.
Pages:
370
Dimensions:
9.24x6.38x1.04 in. 1.48 lbs.

Related Subjects

Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Combinatorics
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Finite Projective Spaces of Three Dimensions (Oxford Mathematical Monographs) New Hardcover
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Product details 370 pages Oxford University Press - English 9780198535362 Reviews:
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