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Finite Geometries and Designs : Proceedings of the Second Isle of Thorns Conference 1980 - P. J. Cameron

Finite Geometries and Designs

Proceedings of the Second Isle of Thorns Conference 1980

By: P. J. Cameron (Editor), J. W. P. Hirschfeld (Editor), D. R. Hughes (Editor)

Paperback Published: 15th June 1981
ISBN: 9780521283786
Number Of Pages: 380

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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.

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
Flat embeddings of 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, l, c)
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-Cse 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
Partition loops and affine geometries
Regular cliques in graphs and special 1 1/2- designs
Bericht ┬╝ber Hecke Algebren und Coxeter Alegebren endlicher
On buildings and locally finite Tits geometries
Moufand conditions from 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 Grassman manifold representing the lines in a projective space
Affine subplanes of projective planes
Point stable designs
Other talks
Participants
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521283786
ISBN-10: 0521283787
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 380
Published: 15th June 1981
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 2.2
Weight (kg): 0.55