All \(3\)-transitive groups satisfy the strict-Erdős-Ko-Rado property
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Publication:6655687
DOI10.1016/j.ejc.2024.104057MaRDI QIDQ6655687
Publication date: 27 December 2024
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Extremal problems in graph theory (05C35) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Extremal set theory (05D05) General theory for finite permutation groups (20B05)
Cites Work
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- An Erdős-Ko-Rado theorem for finite 2-transitive groups
- On the number of derangements and derangements of prime power order of the affine general linear groups
- A quasi-stability result for dictatorships in \(S_n\)
- An Erdős-Ko-Rado theorem for the derangement graph of PGL(\(2,q\)) acting on the projective line
- The Erdős-Ko-Rado property for some 2-transitive groups
- Stability for intersecting families in \(\mathrm{PGL}(2,q)\)
- Character sums and double cosets.
- A new proof of the Erdős-Ko-Rado theorem for intersecting families of permutations
- Spectra of Cayley graphs
- On the maximum number of permutations with given maximal or minimal distance
- Spectra of graphs with transitive groups
- Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\)
- The Erdős-Ko-Rado theorem for the derangement graph of the projective general linear group acting on the projective space
- All 2-transitive groups have the EKR-module property
- A new proof for the Erdős-Ko-Rado theorem for the alternating group
- A proof of the Cameron-Ku conjecture
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Erdős–Ko–Rado Theorems: Algebraic Approaches
- Generating a random permutation with random transpositions
- Minimal characters of the finite classical groups
- SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Intersecting families of permutations
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