In \(\mathrm{AG}(3, q)\) any \(q^2\)-set of class \([1, m, n]_2\) is a cap

DOI10.1016/j.disc.2015.01.011zbMath1371.05038OpenAlexW2037265359MaRDI QIDQ2407019

Fulvio Zuanni, Stefano Innamorati

Publication date: 28 September 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2015.01.011

zbMATH Keywords

capselliptic quadricsthree character sets

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25)

Related Items (4)

Three different names of a 15 - set of type (3, 6)₂ in PG(3, 3) ⋮ In \(\mathrm{AG}(3,q)\) any \(q^2\)-set of class \([0,m,n_2\) containing a line is a cylinder] ⋮ On sets of type \((m,m+q)_2\) in \(\mathrm{PG}(3,q)\) ⋮ Non-existence of sets of type \((0, 1, 2 , n_{d})_{d}\) in \(\mathrm{PG}({r,q})\) with \( 3 \leq d\leq r- 1 \) and \(r\geq 4\)

Cites Work

• Le geometrie di Galois
• Ovoides et groupes de Suzuki
• On \({(q^{2} + q + 1)}\)-sets of class \({[1, m, n_{2}}\) in \(\mathrm{PG}(3, q)\)]
• Note on a class of subsets of \(\mathrm{AG}(3, q)\) with intersection numbers \(1\), \(q\) and \(n\) with respect to the planes
• Bounds on affine caps
• A combinatorial problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: In \(\mathrm{AG}(3, q)\) any \(q^2\)-set of class \([1, m, n]_2\) is a cap