C-groups of high rank for the symmetric groups

Fernandes, Maria Elisa; Leemans, Dimitri

doi:10.1016/j.jalgebra.2018.04.031

Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/23861

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DC Field	Value	Language
dc.contributor.author	Fernandes, Maria Elisa	pt_PT
dc.contributor.author	Leemans, Dimitri	pt_PT
dc.date.accessioned	2018-07-24T10:54:43Z	-
dc.date.issued	2018-08-15	-
dc.identifier.issn	0021-8693	pt_PT
dc.identifier.uri	http://hdl.handle.net/10773/23861	-
dc.description.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.	pt_PT
dc.description.sponsorship	This research was supported by a Marsden grant (UOA1218) of the Royal Society of New Zealand and by the Portuguese funds through the CIDMA – Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), through CIDMA – Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2013. The authors also thank an anonymous referee for useful comments on a preliminary version of this paper.	pt_PT
dc.language.iso	eng	pt_PT
dc.publisher	Elsevier	pt_PT
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147206/PT	pt_PT
dc.rights	openAccess	pt_PT
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	pt_PT
dc.subject	C-groups	pt_PT
dc.subject	Regularity	pt_PT
dc.subject	Thin geometries	pt_PT
dc.subject	Abstract polytopes	pt_PT
dc.subject	Hypertopes	pt_PT
dc.subject	Coxeter groups	pt_PT
dc.subject	Independent generating sets	pt_PT
dc.subject	Inductively minimal geometries	pt_PT
dc.title	C-groups of high rank for the symmetric groups	pt_PT
dc.type	article	pt_PT
dc.description.version	published	pt_PT
dc.peerreviewed	yes	pt_PT
degois.publication.firstPage	196	pt_PT
degois.publication.lastPage	218	pt_PT
degois.publication.title	Journal of Algebra	pt_PT
degois.publication.volume	508	pt_PT
dc.date.embargo	2019-08-15	-
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0021869318302953	pt_PT
dc.identifier.doi	10.1016/j.jalgebra.2018.04.031	pt_PT
Appears in Collections:	CIDMA - Artigos AGG - Artigos

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