C-groups of high rank for the symmetric groups

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 resul...

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Bibliographic Details
Main Author: Fernandes, Maria Elisa (author)
Other Authors: Leemans, Dimitri (author)
Format: article
Language:eng
Published: 2019
Subjects:
C-groups
Regularity
Thin geometries
Abstract polytopes
Hypertopes
Coxeter groups
Independent generating sets
Inductively minimal geometries
Online Access:http://hdl.handle.net/10773/23861
Country:Portugal
Oai:oai:ria.ua.pt:10773/23861

Internet

http://hdl.handle.net/10773/23861

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