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Title: C-groups of high rank for the symmetric groups
Author: Fernandes, Maria Elisa
Leemans, Dimitri
Keywords: C-groups
Thin geometries
Abstract polytopes
Coxeter groups
Independent generating sets
Inductively minimal geometries
Issue Date: 15-Aug-2018
Publisher: Elsevier
Abstract: We give presentations for the C-groups of rank n – 1 of the symmetric group Sn. We also classify C-groups of rank n – 2 for Sn. We show that all these C-groups correspond to regular hypertopes, that is, thin, residually connected flag-transitive geometries. Therefore we generalise some similar results obtained in the framework of string C-groups that are in one-to-one correspondence with abstract regular polytopes.
Peer review: yes
DOI: 10.1016/j.jalgebra.2018.04.031
ISSN: 0021-8693
Publisher Version:
Appears in Collections:CIDMA - Artigos
AGG - Artigos

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