2 papers
math.CO2026
Geometries admitting trialities for the symmetric and alternating groups
Rémi Delaby
In incidence geometry, a triality is a symmetry cyclically exchanging triples of types of elements. Requiring geometries with trialities to satisfy standard regularity conditions m…
math.CO2025
Geometries with trialities arising from linear spaces
Rémi Delaby, Dimitri Leemans, Philippe Tranchida
A triality is a sort of super-symmetry that exchanges the types of the elements of an incidence geometry in cycles of length three. Although geometries with trialities exhibit fasc…