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.
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.
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 Sz¿nyi 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
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
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