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Hypertopes with tetrahedral diagram

par Catalano, Domenico;Fernandes, Maria Elisa;Hubard, Isabel;Leemans, Dimitri
Référence The electronic journal of combinatorics, 25, 3, #P3.22
Publication Publié, 2018-08

Article révisé par les pairs

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Résumé :

In this paper we construct an infinite family of hypertopes of rank four having the complete graph K4 as diagram. Their group of rotational symmetries is isomorphic to PSL(2, q). It turns out some elements of this family are regular hypertopes and some are chiral. Moreover, we show that the chiral ones have both improper and proper correlations simultaneously.