Title Almost simple groups of Suzuki type acting on polytopes
Authors Dimitri Leemans
Reference Proc. Amer. Math. Soc. 134(2006), 3649-3651.
Abstract 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.

Back to the list