On the hyperbolic unitary geometry

DOI10.1007/S10801-009-0200-5zbMath1267.51003OpenAlexW2048435247MaRDI QIDQ976844

Kristina Altmann, Ralf Köhl (né Gramlich)

Publication date: 16 June 2010

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-009-0200-5

zbMATH Keywords

root group geometrycentralisers of involutionshyperbolic unitary geometrylocal recognition graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Local properties of groups (20E25) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Other finite linear geometries (51E26)

Cites Work

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• The geometry of secants in embedded polar spaces
• The hyperbolic lines of finite symplectic spaces
• Symplectic geometries, transvection groups, and modules
• On the hyperbolic symplectic geometry.
• Unitary block designs
• Local recognition of non-incident point-hyperplane graphs
• The geometry of \(k\)-transvection groups
• Automorphisms of unitary block designs
• Local recognition of the line graph of an anisotropic vector space
• A new proof of a theorem of Phan

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