The Erdős-Ko-Rado theorem for the derangement graph of the projective general linear group acting on the projective space
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Publication:2000643
DOI10.1016/j.jcta.2019.02.015zbMath1416.05276OpenAlexW2922294310MaRDI QIDQ2000643
Publication date: 28 June 2019
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10281/242808
Extremal set theory (05D05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)
Related Items (10)
On the largest intersecting set in \(\mathrm{GL}_2(q)\) and some of its subgroups ⋮ Some Erdös-Ko-Rado results for linear and affine groups of degree two ⋮ Intersection theorems for finite general linear groups ⋮ An extension of the Erdős-Ko-Rado theorem to uniform set partitions ⋮ On the intersection density of the symmetric group acting on uniform subsets of small size ⋮ On the intersection density of the Kneser graph \(K(n, 3)\) ⋮ On triangles in derangement graphs ⋮ All 2-transitive groups have the EKR-module property ⋮ On complete multipartite derangement graphs ⋮ On the intersection density of primitive groups of degree a product of two odd primes
Cites Work
- Unnamed Item
- An Erdős-Ko-Rado theorem for finite 2-transitive groups
- Singer torus in irreducible representations of \(\mathrm{GL}(n,q)\)
- An Erdős-Ko-Rado theorem for the derangement graph of PGL(\(2,q\)) acting on the projective line
- Character sums and double cosets.
- A new proof of the Erdős-Ko-Rado theorem for intersecting families of permutations
- Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\)
- Stable sets of maximal size in Kneser-type graphs
- Erdös–Ko–Rado Theorem—22 Years Later
- A proof of the Cameron-Ku conjecture
- An Erdös--Ko--Rado Theorem for the Derangement Graph of ${PGL}_3(q)$ Acting on the Projective Plane
- The Characters of the Finite General Linear Groups
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Erdős–Ko–Rado Theorems: Algebraic Approaches
- Finite Covers, Cohomology and Homogeneous Structures
- Intersecting families of permutations
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