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Finite Geometries and Combinatorics : London Mathematical Society Lecture Note Series - F. de Clerck

Finite Geometries and Combinatorics

London Mathematical Society Lecture Note Series

By: F. de Clerck (Editor), J. W. P. Hirschfeld (Editor), N. J. Hitchin (Editor)

Paperback

Published: 20th December 1993
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Finite geometry and combinatorics is the art of counting any phenomena that can be described by a diagram. Everyday life is full of applications; from telephones to compact disc players, from the transmission of confidential information to the codes on any item on supermarket shelves. This is a collection of thirty-five articles on covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries and polar spaces. Included here are articles from many of the leading practitioners in the field including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results and the growing use of computer algebra packages in this area is also demonstrated.

Generalized hexagons and BLT-sets
Orthogonally divergent spreads of Hermitian curves
Lifts of nuclei in finite projective spaces
Large minimal blocking sets, strong representative systems, and partial unitals
The complement of a geometric hyperplane in a generalized polygon is usually connected
Locally co-Heawood graphs
A theorem of Parmentier characterizing projective spaces by polarities
Geometries with diagrams LP
Remarks on finite generalized hexagons and octagons with a point transitive automorphism group
Block-transitive t- designs, II: large t
Generalized Fischer spaces
Ovoids and windows in finite generalized hexagons
Flag transitive L.C2 geometries
On nonics, ovals and codes in Desarguesian planes of even order
Orbits of arcs in projective spaces
There exists no (76,21,2,7) regular graph
Group arcs of prime power order on cubic curves
Planar Singer groups with even order multiplier groups
On a footnote of Tits concerning Dn-geometries
The structure of the central units of a commutative plane
Partially sharp subsets of PGL(n,q)
Partial ovoids and generalized hexagons
A census of known flag-transitive extended grids
Root lattice constructions of ovoids
Coxeter groups in Coxeter groups
A local characterization of the graphs of alternating forms
A local characterization of the graphs of alternating forms and the graphs of quadratic forms over GF(2)
On some locally 3-transposition graphs
Coherent configurations derived from quasiregular points in generalized quadrangles
On Veldkamp spaces
The Lyons group has no distance transitive representation
Intersection of arcs and normal rational curves in spaces of odd characteristic
Flocks and partial flocks of the quadratic cone in PG(3,q)
Some extended generalized hexagons
Nuclei in finite non-Desarguesian projective planes
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521448505
ISBN-10: 0521448506
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 424
Published: 20th December 1993
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.4
Weight (kg): 0.62