1 citations · 2 across the 12 of their papers we have counts for
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Groups represented by incidence geometries
Dimitri Leemans, Klara Stokes, Philippe Tranchida
The aim of this paper is to use the framework of incidence geometry to develop a theory that permits to model both the inner and outer automorphisms of a group G simultaneously. Mo…
From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries
Claudio Alexandre Piedade, Philippe Tranchida
Coset incidence geometries, introduced by Jacques Tits, provide a versatile framework for studying the interplay between group theory and geometry. In this article, we build upon t…
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…