Philippe Tranchida

most citedTopological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori

1 citations · 1 across the 2 of their papers we have counts for

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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.GR2019

A new algorithm to classify chiral polytopes with a given automorphism group

Francis Buekenhout, Dimitri Leemans, Philippe Tranchida

We present a new algorithm to compute all the chiral polytopes that have a given group $G$ as full automorphism group. This algorithm uses a new set of generators that characterize…

math.GR2019

On residual connectedness in chiral geometries

Dimitri Leemans, Philippe Tranchida

We show that a chiral coset geometry constructed from a $C^{+}$ -group necessarily satisfies residual connectedness and is therefore a hypertope.