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

Author:

Buekenhout Francis,Leemans Dimitri,Tranchida Philippe

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Reference13 articles.

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2. Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A., Wilson, R.A.: Atlas of Finite Groups. Oxford U.P, Oxford (1985)

3. Coxeter, H.S.M., Moser, W.O.J.: Generators and Relations for Discrete Groups, 3rd edn. Springer, New York (1972)

4. Fernandes, M.E.: Dimitri Leemans, and Asia Ivić Weiss. Highly symmetric hypertopes. Aequat. Math. 90, 1045–1067 (2016)

5. Hartley, M.I.: An atlas of small regular polytopes. Per. Math. Hung. 53, 149–156 (2006). Full atlas online athttp://www.abstract-polytopes.com/atlas/

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1. On chiral polytopes having a group PSL(3,q)$\mathrm{PSL}(3,q)$ as automorphism group;Journal of the London Mathematical Society;2022-03-09

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