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Construction of a point-cyclic resolution in \(\mathrm{PG}(9,2)\) - MaRDI portal

Construction of a point-cyclic resolution in \(\mathrm{PG}(9,2)\) (Q852436)

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scientific article; zbMATH DE number 5076687
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Construction of a point-cyclic resolution in \(\mathrm{PG}(9,2)\)
scientific article; zbMATH DE number 5076687

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    Construction of a point-cyclic resolution in \(\mathrm{PG}(9,2)\) (English)
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    29 November 2006
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    A resolution of a \(t-(v,k,\lambda)\)-design is a partition of the set of lines such that each part is itself a partition of the point-set. If a resolution has a cyclic automorphism of full length, then the resolution is said to be point-cyclic. In the paper under review, the author describes an algorithm to construct point-cyclic resolutions of projective geometries over finite fields and uses it to construct the first point-cyclic resolution of \(\text{PG}(9,2)\).
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    resolution
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    point-cyclic
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    group of automorphisms
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    lattice point enumeration
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