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math.CO2023★ 2 cited
Towards the horizons of Tits's vision -- on band schemes, crowds and F1-structures
Oliver Lorscheid, Koen Thas
This text is dedicated to Jacques Tits's ideas on geometry over F1, the field with one element. In a first part, we explain how thin Tits geometries surface as rational point sets…
math.CO2023
Epimorphisms of generalized polygons B: The octagons
Joseph A. Thas, Koen Thas
This is the second part of our study of epimorphisms with source a thick generalized -gon and target a thin generalized -gon. We classify the case when the polygons a…