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  • Two atlases of abstract chiral polytopes for small groups
    Hartley, Michael Ian ; Hubard, Isabel ; Leemans, Dimitri, 1972-
    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 ▫$S \le \Gamma \le \text{Aut}(S)$▫ 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 ▫\textsc{Magma}▫ programs. All these polytopes are made available on the third author's website, at ▫http://math.auckland.ac.nz/~dleemans/CHIRAL/▫.
    Vir: Ars mathematica contemporanea : SIGMAP 2010 (Vol. 5, no. 2, 2012, str. 371-382)
    Vrsta gradiva - prispevek na konferenci
    Leto - 2012
    Jezik - angleški
    COBISS.SI-ID - 16438873

vir: Ars mathematica contemporanea : SIGMAP 2010 (Vol. 5, no. 2, 2012, str. 371-382)

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