Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/23861
Title: | C-groups of high rank for the symmetric groups |
Author: | Fernandes, Maria Elisa Leemans, Dimitri |
Keywords: | C-groups Regularity Thin geometries Abstract polytopes Hypertopes 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 |
URI: | http://hdl.handle.net/10773/23861 |
DOI: | 10.1016/j.jalgebra.2018.04.031 |
ISSN: | 0021-8693 |
Publisher Version: | https://www.sciencedirect.com/science/article/pii/S0021869318302953 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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C-groups of high rank for the symmetric groups.pdf | 351.32 kB | Adobe PDF | View/Open |
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