Symplectic spreads in \(PG(3,q)\), inversive planes and projective planes

DOI10.1016/S0012-365X(96)00345-7zbMath0904.51001MaRDI QIDQ1377781

Joseph A. Thas

Publication date: 19 January 1999

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

surveyexistenceuniquenessovoidsgeneralized quadranglestranslation planespreadinversive planes

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Spreads and packing problems in finite geometry (51E23) Combinatorial structures in finite projective spaces (51E20)

Related Items (10)

Projective planes of Lenz-Barlotti class V. ⋮ The Ghinelli--Löwe construction of generalized quadrangles ⋮ On the classification of semifield flocks. ⋮ Eggs in PG(\(4n-1,q\)), \(q\) even, containing a pseudo-pointed conic ⋮ On monomial flocks ⋮ Blocking sets and semifields ⋮ Maximal arcs in PG(2, q) and partial flocks of the quadratic cone ⋮ Subquadrangles of order \(s\) of generalized quadrangles of order (\(s,s^{2}\)). II ⋮ A new semifield flock ⋮ Translation generalized quadrangles of order \((s,s ^{2})\), \(s\) even, and eggs

Cites Work

• The collineation groups of the translation planes of order 25
• Ovoids of PG(3,16) are elliptic quadrics
• Generalized quadrangles and flocks of cones
• Ovoides et groupes de Suzuki
• Ovoids and spreads of finite classical polar spaces
• The translation planes of order twenty-five
• Ovoids of \(PG(3,16)\) are elliptic quadratics. II
• A four-dimensional Kerdock set over GF(3)
• A note on the Hering type of inversive planes of even order
• Classification of ovoids in \(PG(3,32)\)
• Spreads and ovoids in finite generalized quadrangles
• The affine plane \(AG(2,q)\), \(q\) odd, has a unique one point extension
• The translation planes of order 49
• Ovoids of the quadric Q\((2n,q)\)
• Nonexistence of ovoids in \(\Omega^+(10,3)\)
• Some \(p\)-ranks related to orthogonal spaces
• \(k\)-arcs and partial flocks
• Ovoidal translation planes
• Ovoids and Translation Planes
• Ovoids and Translation Ovals
• Inversive planes of even order
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