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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 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 -group necessarily satisfies residual connectedness and is therefore a hypertope.