Groups of type L 2(q) acting on polytopes-Reference-Cited by-同舟云学术

Groups of type L 2(q) acting on polytopes

Published:2007-10-19 Issue:4 Volume:7 Page:529-539
ISSN:1615-7168
Container-title:advg
language:en
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Author:

Leemans Dimitri¹,Schulte Egon²

Affiliation:

1. Université Libre de Bruxelles, Département de Mathématiques - C.P.216, Boulevard du Triomphe, B-1050 Bruxelles.

2. Northeastern University, Department of Mathematics, 360 Huntington Avenue, Boston, MA 02115, USA.

Abstract

Abstract We prove that if G is a string C-group of rank 4 and G ≅ L 2(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 L 2(11) and Coxeter's 57-cell of type {5, 3, 5} for L 2(19), each a locally projective regular 4-polytope.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2007.031/pdf

Reference15 articles.

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