Summary.
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/.
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Manuscript received: December 2, 2005 and, in final form, January 30, 2006
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Leemans, D., Vauthier, L. An atlas of abstract regular polytopes for small groups. Aequ. math. 72, 313–320 (2006). https://doi.org/10.1007/s00010-006-2843-9
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DOI: https://doi.org/10.1007/s00010-006-2843-9