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Title: Hypertopes with tetrahedral diagram
Author: Fernandes, M. Elisa
Catalano, Domenico
Leemans, Dimitri
Hubard, Isabel
Keywords: Regularity
Thin geometries
Abstract polytopes
Issue Date: Aug-2018
Abstract: In this paper we construct an in nite 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.
Peer review: yes
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Appears in Collections:AGG - Artigos

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