Foundations Of Translation Planes
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Foundations Of Translation Planes
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Author : Mauro Biliotti
language : en
Publisher: CRC Press
Release Date : 2001-07-13
Foundations Of Translation Planes written by Mauro Biliotti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-13 with Mathematics categories.
An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
Foundations Of Translation Planes
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Author : Mauro Biliotti
language : en
Publisher: CRC Press
Release Date : 2001-07-13
Foundations Of Translation Planes written by Mauro Biliotti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-13 with Mathematics categories.
An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of str
Translation Planes
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Author : Norbert Knarr
language : en
Publisher: Springer
Release Date : 2006-11-14
Translation Planes written by Norbert Knarr and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.
Geometry Of Derivation With Applications
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Author : Norman L. Johnson
language : en
Publisher: CRC Press
Release Date : 2023-06-06
Geometry Of Derivation With Applications written by Norman L. Johnson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-06 with Mathematics categories.
Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment. The book builds upon over twenty years of work concerning combinatorial geometry, charted across four previous books and is suitable as a reference text for graduate students and researchers. It contains a variety of new ideas and generalizations of established work in finite affine geometry and is replete with examples and applications.
Combinatorics Of Spreads And Parallelisms
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Author : Norman Johnson
language : en
Publisher: CRC Press
Release Date : 2010-06-03
Combinatorics Of Spreads And Parallelisms written by Norman Johnson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-03 with Mathematics categories.
Combinatorics of Spreads and Parallelisms covers all known finite and infinite parallelisms as well as the planes comprising them. It also presents a complete analysis of general spreads and partitions of vector spaces that provide groups enabling the construction of subgeometry partitions of projective spaces.The book describes general partitions
Unitals In Projective Planes
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Author : Susan Barwick
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-03
Unitals In Projective Planes written by Susan Barwick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-03 with Mathematics categories.
This book is a monograph on unitals embedded in ?nite projective planes. Unitals are an interesting structure found in square order projective planes, and numerous research articles constructing and discussing these structures have appeared in print. More importantly, there still are many open pr- lems, and this remains a fruitful area for Ph.D. dissertations. Unitals play an important role in ?nite geometry as well as in related areas of mathematics. For example, unitals play a parallel role to Baer s- planes when considering extreme values for the size of a blocking set in a square order projective plane (see Section 2.3). Moreover, unitals meet the upper bound for the number of absolute points of any polarity in a square order projective plane (see Section 1.5). From an applications point of view, the linear codes arising from unitals have excellent technical properties (see 2 Section 6.4). The automorphism group of the classical unitalH =H(2,q ) is 2-transitive on the points ofH, and so unitals are of interest in group theory. In the ?eld of algebraic geometry over ?nite ?elds,H is a maximal curve that contains the largest number of F -rational points with respect to its genus, 2 q as established by the Hasse-Weil bound.
General Galois Geometries
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Author : James Hirschfeld
language : en
Publisher: Springer
Release Date : 2016-02-03
General Galois Geometries written by James Hirschfeld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-03 with Mathematics categories.
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.
Summaries Of Projects Completed
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date :
Summaries Of Projects Completed written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Engineering categories.
Finite Geometries
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Author : Johnson
language : en
Publisher: CRC Press
Release Date : 1983-01-18
Finite Geometries written by Johnson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-18 with Mathematics categories.
Summaries Of Projects Completed In Fiscal Year
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1977
Summaries Of Projects Completed In Fiscal Year written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Engineering categories.