Locally Toroidal Polytopes and Modular Linear Groups
| dc.creator | Monson, B. | |
| dc.creator | Schulte, Egon | |
| dc.date | 2008-05-22 | |
| dc.date.accessioned | 2026-07-07T09:40:25Z | |
| dc.date.available | 2026-07-07T09:40:25Z | |
| dc.description | When the standard representation of a crystallographic Coxeter group G (with string diagram) is reduced modulo the integer d>1, one obtains a finite group G^d which is often the automorphism group of an abstract regular polytope. Building on earlier work in the case that d is an odd prime, we here develop methods to handle composite moduli and completely describe the corresponding modular polytopes when G is of spherical or Euclidean type. Using a modular variant of the quotient criterion, we then describe the locally toroidal polytopes provided by our construction, most of which are new. | |
| dc.description | 21 pages (to appear in Discrete Mathematics) | |
| dc.identifier | https://arxiv.org/abs/0805.3479 | |
| dc.identifier | http://arxiv.org/abs/0805.3479 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161478 | |
| dc.subject | Combinatorics | |
| dc.subject | Metric Geometry | |
| dc.subject | 51M20; 20F55 | |
| dc.title | Locally Toroidal Polytopes and Modular Linear Groups | |
| dc.type | text |