Geodesic
Modular Reduction in Abstract Polytopes
Canadian mathematical bulletin, Tome 52 (2009) no. 3, pp. 435-450

Voir la notice de l'article provenant de la source Cambridge University Press

The paper studies modular reduction techniques for abstract regular and chiral polytopes, with two purposes in mind: first, to survey the literature about modular reduction in polytopes; and second, to apply modular reduction, with moduli given by primes in $\mathbb{Z}\left[ \tau\right]$ (with $\tau$ the golden ratio), to construct new regular 4-polytopes of hyperbolic types $\{3,\,5,\,3\}$ and $\{5,\,3,\,5\}$ with automorphism groups given by finite orthogonal groups.
DOI : 10.4153/CMB-2009-047-7
Mots-clés : 51M20, 20F55, abstract polytopes, regular and chiral, Coxeter groups, modular reduction 
Monson, B.; Schulte, Egon. Modular Reduction in Abstract Polytopes. Canadian mathematical bulletin, Tome 52 (2009) no. 3, pp. 435-450. doi: 10.4153/CMB-2009-047-7
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