Geodesic
Rank 4 toroidal hypertopes
Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 67-79.

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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.
DOI : 10.26493/1855-3974.1319.375
Keywords: Regularity, chirality, toroidal, thin geometries, hypermaps, abstract polytopes 
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Eric Ens. Rank 4 toroidal hypertopes. Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 67-79. doi : 10.26493/1855-3974.1319.375. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1319.375/

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