Two-graphs and skew two-graphs in finite geometries

DOI10.1016/0024-3795(95)00242-JzbMath0839.05024OpenAlexW2024941132WikidataQ126748078 ScholiaQ126748078MaRDI QIDQ1899431

G. Eric. Moorhouse

Publication date: 18 June 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00242-j

zbMATH Keywords

fingerprintovoidsspreadscapsfinite geometriestranslation planespolar spacestwo-graph\(m\)-systemsLaguerre planes

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Translation planes and spreads in linear incidence geometry (51A40) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Finite geometry and special incidence structures (51E99)

Related Items (12)

The translation planes of order 49 ⋮ On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces ⋮ Constructions and bounds for mixed-dimension subspace codes ⋮ The idiosyncratic polynomial of digraphs ⋮ Tournaments, 4-uniform hypergraphs, and an exact extremal result ⋮ Double covers of symplectic dual polar graphs ⋮ Skew-adjacency matrices of tournaments with bounded principal minors ⋮ On unimodular tournaments ⋮ Equiangular tight frames from complex Seidel matrices containing cube roots of unity ⋮ Unnamed Item ⋮ Matricial characterization of tournaments with maximum number of diamonds ⋮ \(k\)-spectrally monomorphic tournaments

Uses Software

• nauty

Cites Work

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• The collineation groups of the translation planes of order 25
• Some generalized quadrangles with parameters \(q^ 2,q\)
• Generalized quadrangles and flocks of cones
• The 2-transitive ovoids
• Ovoids and spreads of finite classical polar spaces
• Generalized quadrangles, flocks, and BLT sets
• The translation planes of order twenty-five
• Two-graphs and doubly transitive groups
• Cohomological aspects of two-graphs
• Translation planes of order 27
• \(m\)-systems of polar spaces
• The translation planes of order 49
• Ovoids from the \(E_ 8\) root lattice
• The minimal number of lines intersected by a set of \(q+2\) points, blocking sets, and intersecting circles
• Nonexistence of ovoids in \(\Omega^+(10,3)\)
• Some \(p\)-ranks related to orthogonal spaces
• Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben
• Derivation of Flocks of Quadratic Cones
• A Theorem on Permutations in a Finite Field
• Ovoids and Translation Planes
• Orthogonal Matrices with Zero Diagonal
• Orthogonal Matrices with Zero Diagonal. II

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