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Groups of type L2(q) acting on polytopes
-
Dimitri Leemans
and
Egon Schulte
Published/Copyright:
November 22, 2007
Abstract
We prove that if G is a string C-group of rank 4 and G ≅ L2(q) with q a prime power, then q must be 11 or 19. The polytopes arising are Grünbaum's 11-cell of type {3, 5, 3} for L2(11) and Coxeter's 57-cell of type {5, 3, 5} for L2(19), each a locally projective regular 4-polytope.
Received: 2005-12-24
Revised: 2006-07-03
Revised: 2007-04-06
Published Online: 2007-11-22
Published in Print: 2007-10-19
© Walter de Gruyter
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Articles in the same Issue
- Transitive projective planes
- Groups of type L2(q) acting on polytopes
- Automorphisms of Hilbert's non-desarguesian affine plane and its projective closure
- Isomorphisms of symplectic planes
- Paramétrisation des courbes multiples primitives
- Tight polyhedral models of isoparametric families, and PL-taut submanifolds
Articles in the same Issue
- Transitive projective planes
- Groups of type L2(q) acting on polytopes
- Automorphisms of Hilbert's non-desarguesian affine plane and its projective closure
- Isomorphisms of symplectic planes
- Paramétrisation des courbes multiples primitives
- Tight polyhedral models of isoparametric families, and PL-taut submanifolds
