Parabolic subgroups of large-type Artin groups

Cumplido Cabello, María; Martin, Alexandre; Vaskou, Nicolás

doi:10.1017/S0305004122000342

Artículo

dc.creator	Cumplido Cabello, María	es
dc.creator	Martin, Alexandre	es
dc.creator	Vaskou, Nicolás	es
dc.date.accessioned	2023-04-19T11:02:17Z
dc.date.available	2023-04-19T11:02:17Z
dc.date.issued	2022-09-12
dc.identifier.citation	Cumplido Cabello, M., Martin, A. y Vaskou, N. (2022). Parabolic subgroups of large-type Artin groups. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 174 (2), 393-414. https://doi.org/10.1017/S0305004122000342.
dc.identifier.issn	0305-0041	es
dc.identifier.issn	1469-8064	es
dc.identifier.uri	https://hdl.handle.net/11441/144633
dc.description.abstract	We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic geometry. We use this geometry to show that the set of parabolic subgroups of a large-type Artin group is stable under arbitrary intersections and forms a lattice for the inclusion. As an application, we show that parabolic subgroups of large-type Artin groups are stable under taking roots and we completely characterise the parabolic subgroups that are conjugacy stable. We also use this geometric perspective to recover and unify results describing the normalisers of parabolic subgroups of large-type Artin groups.	es
dc.format	application/pdf	es
dc.format.extent	22 p.	es
dc.language.iso	eng	es
dc.publisher	Cambridge University Press	es
dc.relation.ispartof	MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 174 (2), 393-414.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	Parabolic subgroups of large-type Artin groups	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Álgebra	es
dc.relation.publisherversion	http://doi.org/10.1017/S0305004122000342	es
dc.identifier.doi	10.1017/S0305004122000342	es
dc.journaltitle	MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY	es
dc.publication.volumen	174	es
dc.publication.issue	2	es
dc.publication.initialPage	393	es
dc.publication.endPage	414	es

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