Resumen de An atlas of abstract regular polytopes for small groups

Dimitri Leemans, Laurence Vauthier

• 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/.