On trialities and their absolute geometries

DOI10.1515/advgeom-2024-0018MaRDI QIDQ6636832

Philippe Tranchida, Klara Stokes, Dimitri Leemans

Publication date: 12 November 2024

Published in: Unnamed Author (Search for Journal in Brave)

zbMATH Keywords

trialityincidence geometryabsolute geometry

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Representations of finite groups of Lie type (20C33) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Cites Work

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• Maps admitting trialities but not dualities
• Sur la trialité et certains groupes qui s'en déduisent
• Diagrams for geometries and groups
• Operators over regular maps
• The Magma algebra system. I: The user language
• Le principe de dualité et la théorie des groupes simples et semi-simples.
• Grundlagen und Ziele der analytischen Kinematik.
• Geometrie der Dynamen. Die Zusammensetzung von Kräften und verwandte Gegenstände der Geometrie.
• Operations on maps, and outer automorphisms
• On the foundations of polar geometry
• Self-dual and self-petrie-dual regular maps
• Diagram Geometry
• Trinity symmetry and kaleidoscopic regular maps
• Regular self-dual and self-Petrie-dual maps of arbitrary valency
• New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs
• Incidence geometries with trialities coming from maps with Wilson trialities

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