Finite geometry
1 research manuscript in mathematics. Catalogue areas: Finite geometry.
Results in Finite geometry
Blocking sets of PG(2,13) invariant under a fixed-point-free Singer subgroup meet some line in five points
Determined exactlyBlocking sets with bounded line intersections in finite projective planes (Erdős Problem #1159), Singer-symmetric case in PG(2,13)
Every blocking set of PG(2,13) invariant under the fixed-point-free subgroup of order three of a Singer group meets some line in at least five points, and the 21-point Blokhuis–Brouwer–Wilbrink set attains five.
Manuscript: Blocking sets of PG(2,13) invariant under a fixed-point-free Singer subgroup meet some line in five pointsLean proof: Blocking sets of PG(2,13) invariant under a fixed-point-free Singer subgroup meet some line in five pointsVerification: Blocking sets of PG(2,13) invariant under a fixed-point-free Singer subgroup meet some line in five points
Other subjects
Discrete analysis, tilings, probability and entropyOptimizationQuantum informationValuation theoryMatrix theoryMatroid theorySampling algorithms and information theoryGraph theory and graph polynomialsInteger sequences and combinatoricsQuadratic forms and number theoryBoolean functions and decision treesInequalities and real analysisProof complexityFair divisionStochastic thermodynamics