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Almost simple groups of Suzuki type acting on polytopes

par Leemans, Dimitri
Référence Proceedings of the American Mathematical Society, 134, page (3649-3651)
Publication Publié, 2006

Article révisé par les pairs

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Résumé :

Let S = Sz(q), with q ≠ 2 an odd power of two. For each almost simple group G such that S < G ≤ Aut(S), we prove that G is not a C-group and therefore is not the automorphism group of an abstract regular polytope. For G = Sz(q), we show that there is always at least one abstract regular polytope P such that G = Aut(P). Moreover, if P is an abstract regular polytope such that G = Aut(P), then P is a polyhedron. ©2006 American Mathematical Society.