One-point extensions of generalized hexagons and octagons

DOI10.1016/j.disc.2007.12.015zbMath1160.51011OpenAlexW2148804139MaRDI QIDQ5901356

Van Maldeghem, Hendrik, Hans Cuypers, A. De Wispelaere

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.015

zbMATH Keywords

one-point extensionsplit Cayley extension

Mathematics Subject Classification ID

Other designs, configurations (05B30) Other finite incidence structures (geometric aspects) (51E30)

Cites Work

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• Sur la trialité et certains groupes qui s'en déduisent
• On generalized hexagons and a near octagon whose lines have three points
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• Construction of designs which contain a unital
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• Moufang Octagons and the Ree Groups of Type 2 F 4
• On a combinatorial generalization of 27 lines associated with a cubic surface

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