31 citations · 48 across the 27 of their papers we have counts for
39 papers
Hypertopes with prescribed diagram symmetries
Dimitri Leemans, Pablo Spiga, Philippe Tranchida
Let be a finite connected simple graph with at least two vertices. We construct a finite regular hypertope whose diagram is the graph with every edg…
Testing chirality on hypertopes
Wei-Juan Zhang, Dimitri Leemans
In this paper we give group-theoretical conditions on the maximal parabolic subgroups of a coset geometry for it to be a chiral hypertope, bypassing the need to construct the incid…
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…
Two gluing methods for string C-group representations of the symmetric groups
Dimitri Leemans, Jessica Mulpas
The study of string C-group representations of rank at least for the symmetric group has gained a lot of attention in the last fifteen years. In a recent paper, Cameron…
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…
Flag transitive geometries with trialities and no dualities coming from Suzuki groups
Dimitri Leemans, Klara Stokes, Philippe Tranchida
Recently, Leemans and Stokes constructed an infinite family of incidence geometries admitting trialities but no dualities from the groups PSL(2,q) (where with a prim…