Gyorgy Kiss, Tamas Szonyi

Finite Geometries (eBook, PDF)

• Format: PDF

Produktbeschreibung

Finite Geometries stands out from recent textbooks on the subject of finite geometries by having a broader scope. This textbook explains the recent proof techniques using polynomials in case of Desarguesian planes.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 346
• Erscheinungstermin: 26. Juli 2019
• Englisch
• ISBN-13: 9781498721660
• Artikelnr.: 57194520

Autorenporträt

György Kiss is an associate professor of Mathematics at Eötvös Loránd University (ELTE), Budapest, Hungary, and also at the University of Primorska, Koper, Slovenia. He is a senior researcher of the MTA-ELTE Geometric and Algebraic Combinatorics Research group. His research interests are in finite and combinatorial geometry.

Tamás Szonyi is a Professor at the Department of Computer Science in Eötvös Loránd University, Budapest, Hungary, and also at the University of Primorska, Koper, Slovenia. He is the head of the MTA-ELTE Geometric and Algebraic Combinatorics Research Group. His primary research interests include finite geometry, combinatorics, coding theory and block designs.

Inhaltsangabe

Definition of projective planes, examples
Basic properties of collineations and the Theorem of Baer
Coordination of projective planes
Projective spaces of higher dimensions
Higher dimensional representations
Arcs, ovals and blocking sets
(k, n)-arcs and multiple blocking sets
Algebraic curves and finite geometries
Arcs, caps, unitals and blocking sets in higher dimensional spaces
Generalized polygons, Mobius planes
Hyperovals
Some applications of finite geometry in combinatorics
Some applications of finite geometry in coding theory and cryptography