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An atlas of abstract regular polytopes for small groups

par Leemans, Dimitri ;Vauthier, Laurence
Référence Aequationes mathematicae, 72, 3, page (313-320)
Publication Publié, 2006

Article révisé par les pairs

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Résumé :

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/. © Birkhäuser Verlag, Basel 2007.