General Galois Geometries
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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.
General Galois Geometries
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Author : James William Peter Hirschfeld
language : en
Publisher:
Release Date : 1991
General Galois Geometries written by James William Peter Hirschfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Current Research Topics In Galois Geometry
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Author : Leo Storme
language : en
Publisher: Nova Science Publishers
Release Date : 2014-05
Current Research Topics In Galois Geometry written by Leo Storme and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05 with categories.
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.
Current Research Topics On Galois Geometry
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Author : Leo Storme
language : en
Publisher: Nova Science Publishers
Release Date : 2014-05-14
Current Research Topics On Galois Geometry written by Leo Storme and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Galois theory categories.
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)
Directions And Other Topics In Galois Geometries
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Author : Takáts Marcella
language : en
Publisher:
Release Date : 2014
Directions And Other Topics In Galois Geometries written by Takáts Marcella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Introduction To Galois Geometries
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Author : Beniamino Segre
language : en
Publisher:
Release Date : 1967
Introduction To Galois Geometries written by Beniamino Segre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Galois theory categories.
Projective Geometries Over Finite Fields
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Author : James William Peter Hirschfeld
language : en
Publisher: Oxford University Press on Demand
Release Date : 1998
Projective Geometries Over Finite Fields written by James William Peter Hirschfeld and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Law categories.
I. Introduction 1. Finite fields 2. Projective spaces and algebraic varieties II. Elementary general properties 3. Subspaces 4. Partitions 5. Canonical forms for varieties and polarities III. The line and the plane 6. The line 7. First properties of the plane 8. Ovals 9. Arithmetic of arcs of degree two 10. Arcs in ovals 11. Cubic curves 12. Arcs of higher degree 13. Blocking sets 14. Small planes Appendix Notation References.
Parabolic Geometries I
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Author : Andreas Cap
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Parabolic Geometries I written by Andreas Cap and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott - Borel - Weil theorem, which is used as an important tool. This book provides a description of the geometry and its basic invariants.
Contributions To Galois Geometry
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Author : Louis R. A. Casse
language : en
Publisher:
Release Date : 1968
Contributions To Galois Geometry written by Louis R. A. Casse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Galois theory categories.
Galois Theory
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Author : David A. Cox
language : en
Publisher: John Wiley & Sons
Release Date : 2012-03-27
Galois Theory written by David A. Cox and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-27 with Mathematics categories.
Praise for the First Edition ". . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!" —Monatshefte fur Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel’s theory of Abelian equations, casus irreducibili, and the Galois theory of origami. In addition, this book features detailed treatments of several topics not covered in standard texts on Galois theory, including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois's results about irreducible polynomials of prime or prime-squared degree Abel's theorem about geometric constructions on the lemniscates Galois groups of quartic polynomials in all characteristics Throughout the book, intriguing Mathematical Notes and Historical Notes sections clarify the discussed ideas and the historical context; numerous exercises and examples use Maple and Mathematica to showcase the computations related to Galois theory; and extensive references have been added to provide readers with additional resources for further study. Galois Theory, Second Edition is an excellent book for courses on abstract algebra at the upper-undergraduate and graduate levels. The book also serves as an interesting reference for anyone with a general interest in Galois theory and its contributions to the field of mathematics.