A Sylvester-Gallai type theorem for abelian groups

DOI10.1134/S0001434621070117zbMath1471.05015OpenAlexW3196037178MaRDI QIDQ2049290

Yanyan Li

Publication date: 25 August 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621070117

zbMATH Keywords

elliptic curvesSylvester-Gallai theoremconfigurations of points and linesconfigurations of points and conics

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Triple systems (05B07) Configuration theorems in linear incidence geometry (51A20) Abelian groups (20K99) Finite geometry and special incidence structures (51E99)

Related Items (2)

A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs ⋮ Subset sums and block designs in a finite vector space

Cites Work

• A note on characterizations of affine and Hall triple systems
• A resolution of the Sylvester-Gallai problem of J.-P. Serre
• A Sylvester theorem for conic sections
• Some results on quadrilaterals in Steiner triple systems
• Sylvester-Gallai theorems for complex numbers and quaternions
• Characterisation Results for Steiner Triple Systems and Their Application to Edge-Colourings of Cubic Graphs
• A small basis for four‐line configurations in steiner triple systems. Dedicated to the memory of gemma holly griggs

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