Cameron-Liebler line classes in ${\rm PG}(3,5)$
Combinatorics
2018-10-30 v1
Abstract
We complete a classification of Cameron-Liebler line classes in PG(3,5), and show in a uniform way all non-existence results for those in PG(3,q), q≤5.
Cite
@article{arxiv.1803.10442,
title = {Cameron-Liebler line classes in ${\rm PG}(3,5)$},
author = {Alexander L. Gavrilyuk and Ilia Matkin},
journal= {arXiv preprint arXiv:1803.10442},
year = {2018}
}
Related papers
View all related →
Combinatorics · Mathematics
Cameron-Liebler line classes of ${\rm PG}(3,q)$ admitting ${\rm PGL}(2,q)$
Antonio Cossidente, Francesco Pavese
2018-07-25
Combinatorics · Mathematics
Cameron-Liebler line classes in AG(3,q)
Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme, Andrea Svob
2021-03-10
Combinatorics · Mathematics
Derivation of Cameron-Liebler line classes
Alexander L. Gavrilyuk, Ilia Matkin, Tim Penttila
2018-05-25
Combinatorics · Mathematics
Cameron-Liebler k-sets in subspaces and non-existence conditions
Jan De Beule, Jonathan Mannaert, Leo Storme
2022-02-14
Combinatorics · Mathematics
A note on Cameron - Liebler line classes in PG(n,4)
Alexander L. Gavrilyuk, Ivan Y. Mogilnykh
2012-08-29
Combinatorics · Mathematics
Cameron-Liebler line classes
Morgan Rodgers
2020-07-01
Combinatorics · Mathematics
Cameron-Liebler Line Classes with parameter $x=\frac{(q+1)^2}{3}$
Tao Feng, Koji Momihara, Morgan Rodgers, Qing Xiang +1
2024-06-17
Combinatorics · Mathematics
A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension
Jan De Beule, Jonathan Mannaert
2024-03-04
Combinatorics · Mathematics
A new family of tight sets in $\mathcal{Q}^{+}(5,q)$
Jan De Beule, Jeroen Demeyer, Klaus Metsch, Morgan Rodgers
2020-07-01
Combinatorics · Mathematics
On two non-existence results for Cameron-Liebler $k$-sets in $\mathrm{PG}(n,q)$
Jan De Beule, Jonathan Mannaert, Leo Storme
2024-03-04
Combinatorics · Mathematics
The Cameron-Liebler problem for sets
Maarten De Boeck, Leo Storme, Andrea Švob
2016-01-15
Combinatorics · Mathematics
Cameron-Liebler line classes with parameter $x=\frac{q^2-1}{2}$
Tao Feng, Koji Momihara, Qing Xiang
2015-02-11
Combinatorics · Mathematics
Cameron-Liebler sets of generators in finite classical polar spaces
Maarten De Boeck, Morgan Rodgers, Leo Storme, Andrea Svob
2020-07-01
Combinatorics · Mathematics
Cameron-Liebler sets of generators in the Klein quadric $Q^+(5,q)$
Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme
2025-03-12
Combinatorics · Mathematics
Cameron-Liebler sets of k-spaces in PG(n,q)
Aart Blokhuis, Maarten De Boeck, Jozefien D'haeseleer
2020-11-25
Combinatorics · Mathematics
Cameron-Liebler $k$-sets in $\text{AG}(n,q)$
Jozefien D'haeseleer, Ferdinand Ihringer, Jonathan Mannaert, Leo Storme
2022-02-14
Analysis of PDEs · Mathematics
Non-existence of positive weak solutions for some nonlinear (p,q)-Laplacian systems
Salah A. Khafagy
2014-12-19
Combinatorics · Mathematics
Regular sets of lines in rank 3 polar spaces
Ferdinand Ihringer, Morgan Rodgers
2024-06-17
Combinatorics · Mathematics
New results on maximal partial line spreads in PG(5,q)
Maurizio Iurlo
2015-11-24
Combinatorics · Mathematics
On pencils of cubics on the projective line over finite fields of characteristic $>3$
Gülizar Günay, Michel Lavrauw
2021-04-13
Information Theory · Computer Science
On the Non-existence of certain classes of perfect p-ary sequences and perfect almost p-ary sequences
Chang Lv
2019-12-18
Combinatorics · Mathematics
On the $PGL_2(q)$-orbits of lines of $PG(3,q)$ and binary quartic forms in characteristic three
Krishna Kaipa, Puspendu Pradhan
2025-08-18
Combinatorics · Mathematics
The classification of Boolean degree $1$ functions in high-dimensional finite vector spaces
Ferdinand Ihringer
2024-05-28
Combinatorics · Mathematics
Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces
Jozefien D'haeseleer, Maarten De Boeck
2019-02-05
Group Theory · Mathematics
Conjugacy classes of completely reducible cyclic subgroups of GL$(2, q)$
Prashun Kumar, Geetha Venkataraman
2024-09-12