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

DOI

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
@article{10_4153_CMB_2009_047_7,
     author = {Monson, B. and Schulte, Egon},
     title = {Modular {Reduction} in {Abstract} {Polytopes}},
     journal = {Canadian mathematical bulletin},
     pages = {435--450},
     year = {2009},
     volume = {52},
     number = {3},
     doi = {10.4153/CMB-2009-047-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-047-7/}
}
TY  - JOUR
AU  - Monson, B.
AU  - Schulte, Egon
TI  - Modular Reduction in Abstract Polytopes
JO  - Canadian mathematical bulletin
PY  - 2009
SP  - 435
EP  - 450
VL  - 52
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-047-7/
DO  - 10.4153/CMB-2009-047-7
ID  - 10_4153_CMB_2009_047_7
ER  - 
%0 Journal Article
%A Monson, B.
%A Schulte, Egon
%T Modular Reduction in Abstract Polytopes
%J Canadian mathematical bulletin
%D 2009
%P 435-450
%V 52
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-047-7/
%R 10.4153/CMB-2009-047-7
%F 10_4153_CMB_2009_047_7

Cité par Sources :