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arXiv · 1912.02287

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

Francis Buekenhout·Dimitri Leemans·Philippe Tranchida
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Abstract

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 the group, all of them except one being involutions. It permits to compute all chiral polytopes of groups that were previously unreachable by other known algorithms.

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Francis Buekenhout, Dimitri Leemans, Philippe Tranchida. 2019-12-04. A new algorithm to classify chiral polytopes with a given automorphism group. https://arxiv.org/abs/1912.02287

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