Groups of type L_2(q) acting on polytopes

Details Groups of type L_2(q) acting on polytopes Groups of type L_2(q) acting on polytopes

2006-06-26

arxiv.org/abs/math/0606660v1

Mathematics

Combinatorics

14 pages (Advances in Geometry, to appear)

Scientific paper

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 {3,5,3} for L_2(11) and Coxeter's 57-cell of type
{5,3,5} for L_2(19), each a locally projective regular 4-polytope.

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