Combinatorics of Finite Geometries

Author: Lynn Margaret Batten

Publisher: Cambridge University Press

ISBN: 9780521599931

Category: Mathematics

Page: 193

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Thoroughly revised and updated, with an entirely new chapter on blocking sets in linear spaces.
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Finite Geometries and Combinatorics

Author: Albrecht Beutelspacher,F. de Clerck,F. Buekenhout,J. Doyen,J. Hirschfeld,J. A. Thas

Publisher: Cambridge University Press

ISBN: 9780521448505

Category: Mathematics

Page: 412

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This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries, and polar spaces. Contained 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.
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Finite Geometries

Reprint of the 1968 Edition

Author: Peter Dembowski

Publisher: Springer Science & Business Media

ISBN: 3642620124

Category: Mathematics

Page: 379

View: 4760

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Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown Unviersity and the University of Illinois, mainly with R. Baer. Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tuebingen. Dembowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London (Queen Mary College), Rome, and Madison, WI. Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries" brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and left its trace also in neighbouring areas.
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Introduction to Finite Geometries

Author: F. Kárteszi

Publisher: Elsevier

ISBN: 148327814X

Category: Mathematics

Page: 280

View: 9722

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North-Holland Texts in Advanced Mathematics: Introduction to Finite Geometries focuses on the advancements in finite geometries, including mapping and combinatorics. The manuscript first offers information on the basic concepts on finite geometries and Galois geometries. Discussions focus on linear mapping of a given quadrangle onto another given quadrangle; point configurations of order 2 on a Galois plane of even order; canonical equation of curves of the second order on the Galois planes of even order; and set of collineations mapping a Galois plane onto itself. The text then ponders on geometrical configurations and nets, as well as pentagon theorem and the Desarguesian configuration, two pentagons inscribed into each other, and the concept of geometrical nets. The publication takes a look at combinatorial applications of finite geometries and combinatorics and finite geometries. Topics include generalizations of the Petersen graph, combinatorial extremal problem, and theorem of closure of the hyperbolic space. The book is a valuable source of data for readers interested in finite geometries.
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Finite Geometries and Combinatorial Designs

Proceedings of the AMS Special Session in Finite Geometries and Combinatorial Designs Held October 29-November 1, 1987 [Lincoln, Nebraska]

Author: Earl Sidney Kramer

Publisher: American Mathematical Soc.

ISBN: 0821851187

Category: Mathematics

Page: 312

View: 1908

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More than eighty participants from all over the world attended an AMS Special Session on Finite Geometries and Combinatorial Designs held in Lincoln, Nebraska, in the fall of 1987. This volume contains the proceedings of that Special Session, in addition to several invited papers. Employing state-of-the-art combinatorial and geometric methods, the papers show significant advances in this area. Topics range over finite geometry, combinatorial designs, their automorphism groups, and related structures. Requiring graduate-level background, this book is intended primarily for researchers in finite geometries and combinatorial designs. However, the interested nonspecialist will find that the book provides an excellent overview of current activity in these areas.
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The Theory of Finite Linear Spaces

Combinatorics of Points and Lines

Author: Lynn Margaret Batten,Albrecht Beutelspacher

Publisher: Cambridge University Press

ISBN: 9780521114189

Category: Mathematics

Page: 228

View: 9005

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The first comprehensive text to cover finite linear spaces.
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Combinatorics of Symmetric Designs

Author: Yury J. Ionin,Mohan S. Shrikhande

Publisher: Cambridge University Press

ISBN: 1139449664

Category: Mathematics

Page: N.A

View: 6087

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The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.
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