A modular equality for Cameron-Liebler line classes

DOI10.1016/j.jcta.2014.06.004zbMath1302.51008OpenAlexW2081549664MaRDI QIDQ406573

Klaus Metsch, Alexander L. Gavrilyuk

Publication date: 8 September 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2014.06.004

zbMATH Keywords

intriguing sethyperbolic quadrictight setsGrassmann graphCameron-Liebler line classcompletely regular cod

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (22)

Boolean degree 1 functions on some classical association schemes ⋮ A gap result for Cameron-Liebler \(k\)-classes ⋮ Remarks on the Erdős matching conjecture for vector spaces ⋮ A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension ⋮ A modular equality for m$m$‐ovoids of elliptic quadrics ⋮ New Cameron-Liebler line classes with parameter \(\frac{q^2+1}{2}\) ⋮ Derivation of Cameron-Liebler line classes ⋮ On tight sets of hyperbolic quadrics ⋮ The Cameron-Liebler problem for sets ⋮ Intriguing sets of quadrics in \(\mathrm{PG}(5, q)\) ⋮ Unnamed Item ⋮ On the smallest non-trivial tight sets in Hermitian polar spaces \(H(d, q^2)\), \(d\) even ⋮ Cameron-Liebler \(k\)-sets in \(\text{AG}(n,q)\) ⋮ Cameron-Liebler line classes in \(\mathrm{AG}(3,q)\) ⋮ Cameron-Liebler sets of \(k\)-spaces in \(\mathrm{PG}(n,q)\) ⋮ Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces ⋮ Cameron-Liebler line classes with parameter \(x = \frac{ ( q + 1 )^2}{ 3} \) ⋮ Cameron-Liebler line classes of \(\mathrm{PG}(3,q\)) admitting \(\mathrm{PGL}(2,q\)) ⋮ Cameron-Liebler sets of generators in finite classical polar spaces ⋮ Cameron-Liebler line classes with parameter \(x = \frac{q^2 - 1}{2}\) ⋮ Cameron-Liebler \(k\)-sets in subspaces and non-existence conditions ⋮ A new family of tight sets in \(\mathcal Q^+(5,q)\)

Cites Work

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• Unnamed Item
• An improved bound on the existence of Cameron-Liebler line classes
• Cameron-Liebler line classes in \(PG(n,4)\)
• Cameron-Liebler line classes in PG(3,q)
• The construction of Cameron-Liebler line classes in \(PG(3,q)\)
• On a conjecture of Cameron and Liebler
• On the non-existence of certain Cameron-Liebler line classes in \(PG(3,q)\)
• Tactical decompositions and orbits of projective groups
• Cameron-Liebler line classes
• Tight sets and \(m\)-ovoids of generalised quadrangles
• Cameron-Liebler line classes in \(\mathrm{PG}(3,4)\)
• Classification of maximal caps in PG(3,5) different from elliptic quadrics
• The non-existence of Cameron–Liebler line classes with parameter 2 <x≤q
• A non-existence result on Cameron–Liebler line classes
• On Cameron--Liebler line classes
• Ovals In a Finite Projective Plane

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