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Triangulation du tore de dimension 4

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Abstract

We build a combinatorial four-dimensional torus with 31 vertices, different from that obtained by Kühnel and Lassman. Our torus has also a vertex transitive group action but the symmetry group is of order 2 × 3 × 31, different from 2 × 5 × 31 for the symmetry group of the Kühnel–Lassmann torus. Furthermore, we give a geometrical description of this torus, as well as various results concerning triangulations of tori of dimensions 2 and 3.

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Authors and Affiliations

  1. Laboratoire d'Analyse Géométrie et Applications (URA 742), Institut Galilée, Université Paris-Nord, Avenue Jean-Baptiste Clément, 93430, Villetaneuse, France e-mail

    Alain Grigis

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  1. Alain Grigis
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Grigis, A. Triangulation du tore de dimension 4. Geometriae Dedicata 69, 121–139 (1998). https://doi.org/10.1023/A:1005097224507

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  • DOI: https://doi.org/10.1023/A:1005097224507

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