Unitals Embedded In Finite Projective Planes

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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.

Unitals Embedded In Finite Projective Planes

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Author : Kenneth L. Wantz
language : en
Publisher:
Release Date : 1995

Unitals Embedded In Finite Projective Planes written by Kenneth L. Wantz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Unitals In Projective Planes

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Author : Susan Barwick
language : en
Publisher: Springer
Release Date : 2008-11-01

Unitals In Projective Planes written by Susan Barwick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 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.

Handbook Of Finite Fields

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Author : Gary L. Mullen
language : en
Publisher: CRC Press
Release Date : 2013-06-17

Handbook Of Finite Fields written by Gary L. Mullen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-17 with Computers categories.

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and

Finite Geometry And Combinatorial Applications

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Author : Simeon Ball
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-02

Finite Geometry And Combinatorial Applications written by Simeon Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-02 with Mathematics categories.

A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

Mostly Finite Geometries

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Author : Norman Johnson
language : en
Publisher: CRC Press
Release Date : 1997-05-06

Mostly Finite Geometries 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 1997-05-06 with Mathematics categories.

Based on the proceedings of the conference held at the University of Iowa, in honour and celebration of the mathematician T.G. Ostrom's 80th birthday, this text focuses on finite geometries as well as topological geometries in the infinite case, some of which originate with ideas of finite geometric objects. It includes information about flocks of quadratic cones and related geometric and combinatorial structures.

Design Theory Volume 2

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Author : Thomas Beth
language : en
Publisher: Cambridge University Press
Release Date : 1999-11-18

Design Theory Volume 2 written by Thomas Beth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-18 with Mathematics categories.

This is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.

Journal Of Combinatorics Information System Sciences

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Author :
language : en
Publisher:
Release Date : 1989

Journal Of Combinatorics Information System Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Combinatorial analysis categories.

Archiv Der Mathematik

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Author :
language : en
Publisher:
Release Date : 2002

Archiv Der Mathematik written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Handbook Of Finite Translation Planes

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Author : Norman Johnson
language : en
Publisher: CRC Press
Release Date : 2007-02-15

Handbook Of Finite Translation Planes 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 2007-02-15 with Mathematics categories.

The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant theorems. From the methods of Andre to coordi