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math.CO2009
Polytopes with groups of type PGL_2(q)
Dimitri Leemans, Egon Schulte
There exists just one regular polytope of rank larger than 3 whose full automorphism group is a projective general linear group PGL_2(q), for some prime-power q. This polytope is t…
math.CO2006★ 6 cited
Groups of type L_2(q) acting on polytopes
Dimitri Leemans, Egon Schulte
We prove that if G is a string C-group of rank 4 and G is isomorphic to L_2(q) with q a prime power, then q must be 11 or 19. The polytopes arising are Grunbaum's 11-cell of type {…