Philippe Tranchida

collaborators

3 papers

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 $q = p^{3 n}$ with $p$ a prim…

math.GR2023

On trialities and their absolute geometries

Dimitri Leemans, Klara Stokes, Philippe Tranchida

We introduce the notion of moving absolute geometry of a geometry with triality and show that, in the classical case where the triality is of type $(I_{σ})$ and the absolute geometry…

math.GT2023

Thurston unit ball of a family of $n$ -chained links and their fibered face

Juhun Baik, Philippe Tranchida

We determine the Thurston unit ball of a family of $n$ -chained link, denoted by $C (n, p)$ , where $n$ is the number of link components and $p$ is the number of twists. When $p$ is st…

Flag transitive geometries with trialities and no dualities coming from Suzuki groups

On trialities and their absolute geometries

Thurston unit ball of a family of n-chained links and their fibered face

Thurston unit ball of a family of $n$ -chained links and their fibered face