Rank 4 toroidal hypertopes

Eric Ens

Abstract


We classify the regular toroidal hypertopes of rank 4. Their automorphism groups are the quotients of infinite irreducible Coxeter groups of euclidean type with 4 generators. We also prove that there are no toroidal chiral hypertopes of rank 4. 


Keywords


Regularity, chirality, toroidal, thin geometries, hypermaps, abstract polytopes

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DOI: https://doi.org/10.26493/1855-3974.1319.375

ISSN: 1855-3974

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