Overview

"This is a graduate-level book aimed at experienced researchers as well as beginning graduate students in finite geometry, incidence geometry, design theory, coding theory and combinatorics. The 21 articles arise from the Fourth Isle of Thorns Conference on Finite Geometries, held in July 2000. The book contains new high-level results at the forefront of the field as well as authoritative surveys. The articles are written so that beginning graduate students can appreciate them. Among the surveys by the invited speakers are P.J. Cameron (""Fixed Points and cycles""), C.E. Praeger (""Implications of line-transitivity for designs""), B. Schmidt, (""Exponent bounds"", which explains recent results on difference sets), and several papers with H. Van Maideghem as co-author on generalized polygons. The editors also contribute: A. Blokhuis, D. Jungnickel, and B. Schmidt (""On a class of symmetric divisible designs which are almost projective planes""), and D. Luyckx and J.A. Thas discuss the geometry of the quadric in six dimensions. There is also a lengthy and complete survey by J.W.P. Hirschfeld and L. Storme (""The packing problem in statistics, coding theory and finite projective spaces: update 2001""). Researchers as well as beginning graduate students in the areas of finite geometry, incidence geometry, design theory, coding theory and combinatorics should appreciate the surveys and original papers by leaders in these fields."

Full Product Details

Author:   Aart Blokhuis ,  James W.P. Hirschfeld ,  Dieter Jungnickel ,  Joseph A. Thas
Publisher:   Springer
Imprint:   Springer
Edition:   2001 ed.
Volume:   3
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.560kg
ISBN:  

9780792369943

ISBN 10:   0792369947
Pages:   368
Publication Date:   31 July 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Point-line geometries with a generating set that depends on the underlying field.- On a class of symmetric divisible designs which are almost projective planes.- Generalized elliptic cubic curves, Part 1.- Fixed points and cycles.- RWPRI geometries for the alternating group A8.- A characterization of truncated Dn-buildings as flag-transitive PG.PG*-geometries.- Group-theoretic characterizations of classical ovoids.- A general framework for subexponential discrete logarithm algorithms in groups of unknown order.- Generalized quadrangles and pencils of quadrics.- The Desarguesian plane of order thirteen.- Two characterizations of the Hermitian spread in the split Cayley hexagon.- Epimorphisms of generalized polygons, Part 2: some existence and non-existence results.- The packing problem in statistics, coding theory and finite projective spaces: update 2001.- The geometric approach to linear codes.- Flocks and locally hermitian 1-systems of Q(6, q).- Diagrams for embeddings of polygons.- The Law—Penttila q-clan geometries.- Implications of line-transitivity for designs.- Exponent bounds.- On symmetries and translation generalized quadrangles.- Complete caps in projective space which are disjoint from a subspace of codimension two.- Participants.- Talks.

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