Finite Geometries and Designs: Proceedings of the Second Isle of Thorns Conference 1980

doi:10.1017/CBO9781107325579

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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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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PREFACE
pp vii-viii
- By P.J.C., J.W.P.H., D.R.H.
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Introduction
pp 1-15
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Generalized Steiner systems of type 3-(v, {4,6}, 1)
pp 16-21
- By E.F. Assmus, Jr., Lehigh University, J.E. Novillo Sardi, Lehigh University
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Some remarks on D.R. Hughes' construction of M12 and its associated designs
pp 22-30
- By Thomas Beth, Universität Erlangen
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On k-sets of class [0,1,2,n]2 in PG(r,q)
pp 31-39
- By Alessandro Bichara, Università di Roma
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Covering graphs and symmetric designs
pp 40-51
- By N.L. Biggs, University of London, T. Ito, University of London
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Arcs and blocking sets
pp 52-60
- By A.A. Bruen, University of Western Ontario, R. Silverman, Wright State University
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Flat embeddings of near 2n-gons
pp 61-71
- By Peter J. Cameron, Merton College
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Codes, caps and linear spaces
pp 72-80
- By P.V. Ceccherini, Università di Roma, G. Tallini, Università di Roma
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Geometries originating from certain distance-regular graphs
pp 81-87
- By Arjeh M. Cohen, Mathematisch Centrum
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Transitive automorphism groups of finite quasifields
pp 88-97
- By Stephen D. Cohen, University of Glasgow, Michael J. Ganley, University of Glasgow, Vikram Jha, University of Glasgow
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On k-sets of type (m,n) in projective planes of square order
pp 98-103
- By Massimo de Finis, Università di Roma
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On k-sets of type (m,n) in a Steiner system S(2, l, v)
pp 104-113
- By Marialuisa J. de Resmini, Università di Roma
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Some translation planes of order 81
pp 114-118
- By D.A. Foulser, University of Illinois at Chicago Circle
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A new partial geometry constructed from the Hoffman-Singleton graph
pp 119-127
- By Willem Haemers, University of Technology
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Locally cotriangular graphs
pp 128-133
- By Jonathan I. Hall, Michigan State University, Ernest E. Shult, Kansas State University
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Coding theory of designs
pp 134-145
- By Marshall Hall, Jr., California Institute of Technology
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On shears in fixed-point-free affine groups
pp 146-152
- By Christoph Hering, Universität Tübingen
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On (k,n)-arcs and the falsity of the Lunelli-Sce conjecture
pp 153-168
- By R. Hill, University of Salford, J.R.M. Mason, University of Salford
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Cubic surfaces whose points all lie on their 27 lines
pp 169-171
- By J.W.P. Hirschfeld, University of Sussex
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Existence results for translation nets
pp 172-196
- By Dieter Jungnickel, Justus-Liebig-Universität
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Translation planes having PSL(2,w) or SL(3,w) as a collineation group
pp 197-204
- By Michael J. Kallaher, Washington State University
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Sequenceable groups: a survey
pp 205-215
- By A.D. Keedwell, University of Surrey
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Polar spaces embedded in a projective space
pp 216-220
- By Christiane Lefèvre-Percsy, Université Libre de Bruxelles
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On relations among the projective geometry codes
pp 221-225
- By R.A. Liebler, Colorado State University
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Partition loops and affine geometries
pp 226-243
- By Mario Marchi, Istituto Matematico
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Regular cliques in graphs and special 1½ designs
pp 244-259
- By A. Neumaier, Albert-Ludwigs-Universität
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Bericht über Hecke Algebren und Coxeter Algebren eindlicher Geometrien
pp 260-271
- By Udo Ott, Technische Universität Braunschweig
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Finite Geometries and Designs

Proceedings of the Second Isle of Thorns Conference 1980

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