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