Groups of type L_2(q) acting on polytopes

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dc.creatorLeemans, Dimitri
dc.creatorSchulte, Egon
dc.date2006-06-26
dc.date.accessioned2026-07-07T07:17:42Z
dc.date.available2026-07-07T07:17:42Z
dc.descriptionWe 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.
dc.description14 pages (Advances in Geometry, to appear)
dc.identifierhttps://arxiv.org/abs/math/0606660
dc.identifierhttp://arxiv.org/abs/math/0606660
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114036
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subject51M20; 51E24
dc.titleGroups of type L_2(q) acting on polytopes
dc.typetext

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