
Title

Almost simple groups of Suzuki type acting on polytopes

Authors

Dimitri Leemans

Reference 
Proc. Amer. Math. Soc. 134(2006), 36493651.

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 Cgroup 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.


