General Galois Geometries

Author : James Hirschfeld,Joseph A. Thas
Publisher : Springer
Page : 409 pages
File Size : 43,6 Mb
Release : 2016-02-03
Category : Mathematics
ISBN : 9781447167907

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General Galois Geometries by James Hirschfeld,Joseph A. Thas Pdf

This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.

Author : James William Peter Hirschfeld
Publisher : Unknown
Page : 0 pages
File Size : 53,7 Mb
Release : 1991
Category : Electronic
ISBN : 0198538375

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General Galois Geometries by James William Peter Hirschfeld Pdf

Author : Leo Storme
Publisher : Nova Science Publishers
Page : 284 pages
File Size : 49,5 Mb
Release : 2014-05-14
Category : Galois theory
ISBN : 1620813637

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Current Research Topics on Galois Geometry by Leo Storme Pdf

Galois geometry is the theory that deals with substructures living in projective spaces over finite fields, also called Galois fields. This collected work presents current research topics in Galois geometry, and their applications. Presented topics include classical objects, blocking sets and caps in projective spaces, substructures in finite classical polar spaces, the polynomial method in Galois geometry, finite semifields, links between Galois geometry and coding theory, as well as links between Galois geometry and cryptography. (Imprint: Nova)

Author : N.S. Narasimha Sastry
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 40,7 Mb
Release : 2011-11-13
Category : Mathematics
ISBN : 9781461407096

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Buildings, Finite Geometries and Groups by N.S. Narasimha Sastry Pdf

This is the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Bangalore, during August 29 – 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.

Author : Vladimir Tonchev
Publisher : Springer Science & Business Media
Page : 114 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461314233

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Codes, Designs and Geometry by Vladimir Tonchev Pdf

Codes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area. Codes, Designs, and Geometry serves as an excellent reference, providing insight into some of the most important research issues in the field.

Author : William Mark Goldman
Publisher : Oxford University Press
Page : 342 pages
File Size : 52,9 Mb
Release : 1999
Category : Mathematics
ISBN : 019853793X

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Complex Hyperbolic Geometry by William Mark Goldman Pdf

This is the first comprehensive treatment of the geometry of complex hyperbolic space, a rich area of research with numerous connections to other branches of mathematics, including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie groups, and harmonic analysis.

Author : Stephen Semmes
Publisher : Oxford University Press
Page : 180 pages
File Size : 48,8 Mb
Release : 2001
Category : Mathematics
ISBN : 0198508069

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Some Novel Types of Fractal Geometry by Stephen Semmes Pdf

This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincaré inequalities, concerning the relationship between the average behavior of a function and the average behavior of its small-scale oscillations. Remarkable results in the last few years through Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other had, 'typical' fractals that might be seen in pictures do not have these same kinds of features. This text examines these topics in detail and will interest graduate students as well as researchers in mathematics and various aspects of geometry and analysis.

Author : Gyorgy Kiss,Tamas Szonyi
Publisher : CRC Press
Page : 274 pages
File Size : 48,5 Mb
Release : 2019-07-26
Category : Mathematics
ISBN : 9781351646383

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Finite Geometries by Gyorgy Kiss,Tamas Szonyi Pdf

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central part of discrete mathematics. The text is suitable for undergraduate and graduate courses. Additionally, it can be used as reference material on recent works. The authors examine how finite geometries’ applicable nature led to solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics. Other areas covered include proof techniques using polynomials in case of Desarguesian planes, and applications in extremal combinatorics, plus, recent material and developments. Features: Includes exercise sets for possible use in a graduate course Discusses applications to graph theory and extremal combinatorics Covers coding theory and cryptography Translated and revised text from the Hungarian published version

Author : R. Pellikaan,M. Perret,S.G. Vladut
Publisher : Walter de Gruyter
Page : 301 pages
File Size : 41,9 Mb
Release : 2011-07-20
Category : Mathematics
ISBN : 9783110811056

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Arithmetic, Geometry, and Coding Theory by R. Pellikaan,M. Perret,S.G. Vladut Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Aart Blokhuis,James W.P. Hirschfeld,Dieter Jungnickel,Joseph A. Thas
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 51,9 Mb
Release : 2013-12-01
Category : Computers
ISBN : 9781461302834

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Finite Geometries by Aart Blokhuis,James W.P. Hirschfeld,Dieter Jungnickel,Joseph A. Thas Pdf

When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.

Author : Albrecht Beutelspacher,F. de Clerck
Publisher : Cambridge University Press
Page : 428 pages
File Size : 49,9 Mb
Release : 1993-10-21
Category : Mathematics
ISBN : 0521448506

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Finite Geometries and Combinatorics by Albrecht Beutelspacher,F. de Clerck Pdf

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.

Author : Dieter Jungnickel
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461313953

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Designs and Finite Geometries by Dieter Jungnickel Pdf

Designs and Finite Geometries brings together in one place important contributions and up-to-date research results in this important area of mathematics. Designs and Finite Geometries serves as an excellent reference, providing insight into some of the most important research issues in the field.

Author : Rey Casse
Publisher : OUP Oxford
Page : 212 pages
File Size : 53,9 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 9780191538360

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Projective Geometry by Rey Casse Pdf

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.

Author : Johannes Ueberberg
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 43,7 Mb
Release : 2011-08-26
Category : Mathematics
ISBN : 9783642209727

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Foundations of Incidence Geometry by Johannes Ueberberg Pdf

Incidence geometry is a central part of modern mathematics that has an impressive tradition. The main topics of incidence geometry are projective and affine geometry and, in more recent times, the theory of buildings and polar spaces. Embedded into the modern view of diagram geometry, projective and affine geometry including the fundamental theorems, polar geometry including the Theorem of Buekenhout-Shult and the classification of quadratic sets are presented in this volume. Incidence geometry is developed along the lines of the fascinating work of Jacques Tits and Francis Buekenhout. The book is a clear and comprehensible introduction into a wonderful piece of mathematics. More than 200 figures make even complicated proofs accessible to the reader.

Author : W. V. D. Hodge,D. Pedoe
Publisher : Cambridge University Press
Page : 394 pages
File Size : 45,8 Mb
Release : 2010-02-04
Category : Mathematics
ISBN : 0511623895

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Methods of Algebraic Geometry: by W. V. D. Hodge,D. Pedoe Pdf

Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of these methods to some of the more important varieties that occur in projective geometry.