On collineation groups generated by Bol reflections

DOI10.1007/BF01226801zbMath0793.51001OpenAlexW1992521524MaRDI QIDQ1312228

Péter T. Nagy, Martin Funk

Publication date: 18 August 1994

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01226801

zbMATH Keywords

projectivitiesBol loopsconfiguration theoremsBol 3-netsBol reflections

Mathematics Subject Classification ID

Reflection groups, reflection geometries (51F15) Configuration theorems in linear incidence geometry (51A20) Algebraization in linear incidence geometry (51A25)

Related Items

\(K\)-loops from classical groups over ordered fields, Webs related to \(K\)-loops and reflection structures, Solvability of universal bol 2-loops, On twisted subgroups and Bol loops of odd order., A characterization of the full wreath product., Loops, their cores and symmetric spaces, Moufang Loops and Groups with Triality are Essentially the Same Thing, Webs with rotation and reflection properties and their relations with certain loops

Cites Work

• The geometry of binary systems
• Octagonality conditions in projective and affine planes
• Loops, their cores and symmetric spaces
• Bol quasi-fields and Pappus' theorem
• Projective planes over Bol quasi-fields
• On loops of odd order
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