An atlas of abstract regular polytopes for small groups

• Autores: Dimitri Leemans, Laurence Vauthier
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 72, Nº. 3, 2006, págs. 313-320
• Idioma: inglés
• DOI: 10.1007/s00010-006-2843-9
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• Resumen

  • For each almost simple group G such that S = G = Aut(S) and S is a simple group of order less than 900,000 listed in the Atlas of Finite Groups, we give, up to isomorphism, the number of abstract regular polytopes on which G acts regularly. The results have been obtained using a series of Magma programs. All these polytopes are made available on the first author¿s website, at http://cso.ulb.ac.be/~dleemans/polytopes/.