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Project

New aspects of field reduction

Many new constructions of particular sets in projective spaces arise from constructions using field reduction, e.g. eggs, blocking sets, geneneralised quadrangles. The structures considered in this project are also related to an algebraic structure: a quasifield. It is our goal to find new constructions and classification results for the mentioned subsets and the obtained quasifields by using this geometrical perspective

Date:1 Oct 2012 →  30 Sep 2021
Keywords:quasifields, finite geometry, generalised quadrangles, field reduction, egg
Disciplines:Combinatorics, Algebra, Field theory and polynomials