Name
Abstract | ||
|---|---|---|
We construct chiral abstract polytopes in two different ways. Firstly we seek them as quotients of regular polytopes arising from the Atlas of Small Regular Polytopes (http://www.abstract-polytopes.com/atlas/); the resulting atlas of chiral polytopes atlas is available on the website http://www.abstract-polytopes.com/chiral/. Secondly, for each almost simple group Gamma such that S <= Gamma <= Aut(S) where S is a simple group and Gamma is a group of order less than 900,000 listed in the Atlas of Finite Groups, we give, up to isomorphism, the number of abstract chiral polytopes on which Gamma acts regularly. The results have been obtained using a series of MAGMA programs. All these polytopes are made available on the third author's website, at http://math.auckland.ac.nz/similar to dleemans/CHIRAL/. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.26493/1855-3974.204.f8b | ARS MATHEMATICA CONTEMPORANEA |
Keywords | Field | DocType |
Abstract chiral polytopes,almost simple groups | Discrete mathematics,Combinatorics,Quotient,Almost simple group,Polytope,Atlas (anatomy),Isomorphism,Mathematics,Simple group,Regular polytope | Journal |
Volume | Issue | ISSN |
5 | 2 | 1855-3966 |
Citations | PageRank | References |
3 | 0.42 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael I. Hartley | 1 | 47 | 8.06 |
| Isabel Hubard | 2 | 30 | 7.22 |
| Dimitri Leemans | 3 | 38 | 15.96 |