On some generalization of the Möbius configuration
Petelczyc, Krzysztof
ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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The Möbius (84) configuration is generalized in a purely combinatorial approach. We consider (2nn) configurations M(n, φ) depending on a permutation φ in the symmetric group Sn. Classes of non-isomorphic configurations of this type are determined. The parametric characterization of M(n, φ) is given. The uniqueness of the decomposition of M(n, φ) into two mutually inscribed n-simplices is discussed. The automorphisms of M(n, φ) are characterized for n ≥ 3.

Publié le : 2017-01-01
DOI : https://doi.org/10.26493/1855-3974.765.46c 
@article{765,
     title = {On some generalization of the M\"obius configuration},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {14},
     year = {2017},
     doi = {10.26493/1855-3974.765.46c},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/765}
}

Petelczyc, Krzysztof. On some generalization of the Möbius configuration. ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017) . doi : 10.26493/1855-3974.765.46c. http://gdmltest.u-ga.fr/item/765/