Finite Geometries

AvGyorgy Kiss,Tamas Szonyi

Häftad, Engelska, 2023

687 kr

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Beskrivning

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

Produktinformation

Utgivningsdatum:2023-01-21
Mått:156 x 234 x 23 mm
Vikt:640 g
Format:Häftad
Språk:Engelska
Antal sidor:346
Förlag:Taylor & Francis Ltd
ISBN:9781032475387

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Mer om författaren

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 Szőnyi 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.

Innehållsförteckning

Definition of projective planes, examplesBasic properties of collineations and the Theorem of BaerCoordination of projective planesProjective spaces of higher dimensionsHigher dimensional representationsArcs, ovals and blocking sets(k, n)-arcs and multiple blocking setsAlgebraic curves and finite geometriesArcs, caps, unitals and blocking sets in higher dimensional spacesGeneralized polygons, Mobius planesHyperovalsSome applications of finite geometry in combinatoricsSome applications of finite geometry in coding theory and cryptography