3 papers
math.GR2025
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…
math.CO2024
A lattice framework for generalizing shellable complexes and matroids
Rakhi Pratihar, Tovohery H. Randrianarisoa, Klara Stokes
We introduce the notion of power lattices that unifies and extends the equicardinal geometric lattices, Cartesian products of subspace lattices, and multiset subset lattices, among…
math.GR2023
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…