Originally published in 1981, this collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces, Steiner systems, coding theory, group theory, block designs, generalized quadrangles, and projective planes. There is a comprehensive introduction, which aims to interest the non-specialist in the subject and which indicates how the contributions fit together. This is a field of research pursued both for its intrinsic interest and its applications. These papers include a number of open problems whose statement requires very little mathematical sophistication.

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Yes, you can access Finite Geometries and Designs by P. J. Cameron,J. W. P. Hirschfeld,D. R. Hughes in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Cambridge University Press

Year

1981

ISBN

9781107107762

Topic

Mathematics

Subtopic

Logic in Mathematics

Index

Mathematics

Cover
Series Page
Title
Copyright
CONTENTS
PREFACE
INTRODUCTION
GENERALIZED STEINER SYSTEMS OF TYPE 3– (v, { 4,6}, 1)
SOME REMARKS ON D.R. HUGHES' CONSTRUCTION OF M12 AND ITS ASSOCIATED DESIGNS
ON k-SETS OF CLASS [0,1, 2,n]2 IN PG(r,q)
COVERING GRAPHS AND SYMMETRIC DESIGNS
ARCS AND BLOCKING SETS
FIAT EMBEDDINGS OF NEAR 2n-GONS
CODES, CAPS AND LINEAR SPACES
GEOMETRIES ORIGINATING FROM CERTAIN DISTANCE-REGULAR GRAPHS
TRANSITIVE AUTOMORPHISM GROUPS OF FINITE QUASIFIELDS
ON k-SETS OF TYPE (m,n) IN PROJECTIVE PLANES OF SQUARE ORDER
ON k-SETS OF TYPE (m,n) IN A STEINER SYSTEM S(2, I, v)
SOME TRANSLATION PLANES OF ORDER 81
A NEW PARTIAL GEOMETRY CONSTRUCTED FROM THE HOFFMAN-SINGLETON GRAPH
LOCALLY COTRIANGULAR GRAPHS
CODING THEORY OF DESIGNS
ON SHEARS IN FIXED–POINT–FREE AFFINE GROUPS
ON (k,n)–ARCS AND THE FALSITY OF THE LUNELLI-SCE CONJECTURE
CUBIC SURFACES WHOSE POINTS ALL LIE ON THEIR 27 LINES
EXISTENCE RESULTS FOR TRANSLATION NETS
TRANSLATION PLANES HAVING PSL(2,w) OR SL(3,w) AS A COLLINEATION GROUP
SEQUENCEABLE GROUPS: A SURVEY
POLAR SPACES EMBEDDED IN A PROJECTIVE SPACE
ON RELATIONS AMONG THE PROJECTIVE GEOMETRY CODES
PARTITIOJ LOOPS AND AFFINE GEOMETRIES
REGULAR CLIQUES IN GRAPHS AND SPECIAL 1 1/2 DESIGNS
BERICHT UBER HECKE ALGEBREN UND COXETER ALGEBREN EINDLICHER GEQMETRIEN
ON BUILDINGS AND LOCALLY FINITE TITS GEOMETRIES
MOUFANG CCMDITIOsfS FOR FINITE GENERALIZED QUADRANGLES
EMBEDDING GEOMETRIC LATTICES IN A PROJECTIVE SPACE
COVERINGS OF CERTAIN FINITE GEOMETRIES
ON CLASS-REGULAR PROJECTIVE HJELMSLEV PLANES
ON MULTIPLICITY-FREE PERMUTATION REPRESENTATIONS
ON A CHARACTERIZATION OF THE GRASSMANN MANIFOLD REPRESENTING THE LINES IN A PROJECTIVE SPACE
AFFINE SUBPLANES OF PROJECTIVE PLANES
POINT STABLE DESIGNS
OTHER TALKS
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