English
Right-angled Coxeter groups commensurable to right-angled Artin groups
Virtualconference
Auteurs : Levcovitz, Ivan (Auteur de la Conférence)
CIRM (Editeur )
20F55 - Coxeter groups
20F65 - Geometric group theory
57M07 - Topological methods in group theory
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2159/Slides/levcovitz_visual_raags.pdf
CIRM (Editeur )
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Résumé :
A well-known result of Davis-Januszkiewicz is that every right-angled Artin group (RAAG) is commensurable to some rightangled Coxeter group (RACG). In this talk we consider the converse question: which RACGs are commensurable to some RAAG? To do so, we investigate some natural candidate RAAG subgroups of RACGs and characterize when such subgroups are indeed RAAGs. As an application, we show that a 2-dimensional, one-ended RACG with planar defining graph is quasiisometric to a RAAG if and only if it is commensurable to a RAAG. This talk is based on work joint with Pallavi Dani.
Keywords : right-angled Coxeter groups; commensurability
Codes MSC : Keywords : right-angled Coxeter groups; commensurability
20F55 - Coxeter groups
20F65 - Geometric group theory
57M07 - Topological methods in group theory
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2159/Slides/levcovitz_visual_raags.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/06/2020 Date de captation : 21/05/2020 Sous collection : Research talks arXiv category : Group Theory ; General Topology ; Astrophysics Domaine : Topology Format : MP4 (.mp4) - HD Durée : 00:37:15 Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-21_Levcovitz.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesOrganisateurs de la rencontre : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Année de la rencontre : 2020 URL Congrès : https://conferences.cirm-math.fr/virtual...
Données de citation
DOI : 10.24350/CIRM.V.19636303Citer cette vidéo: Levcovitz, Ivan (2020). Right-angled Coxeter groups commensurable to right-angled Artin groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19636303 URI : http://dx.doi.org/10.24350/CIRM.V.19636303 |
Voir aussi
- [Virtualconference] Incoherence of free-by-free and surface-by-free groups / Auteur de la Conférence Walsh, Genevieve.
- [Virtualconference] Automorphism groups of Coxeter groups do not have Kazhdan's property (T) / Auteur de la Conférence Varghese, Olga.
- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Auteur de la Conférence Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Auteur de la Conférence Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Auteur de la Conférence Runnels, Ian.
- [Virtualconference] Parabolic subgroups of infinite type Artin groups / Auteur de la Conférence Morris-Wright, Rose.
- [Virtualconference] Quasi-actions and almost normal subgroups / Auteur de la Conférence Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Auteur de la Conférence Lonjou, Anne.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Auteur de la Conférence Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Auteur de la Conférence Hoda, Nima.
- [Virtualconference] Spin mapping class groups and curve graphs / Auteur de la Conférence Hamenstädt, Ursula.
- [Virtualconference] Spaces of cubulations / Auteur de la Conférence Fioravanti, Elia.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Auteur de la Conférence Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Auteur de la Conférence Balasubramanya, Sahana.
Bibliographie
- DANI, Pallavi et LEVCOVITZ, Ivan. Right-angled Artin subgroups of right-angled Coxeter and Artin groups. arXiv preprint arXiv:2003.05531, 2020. - https://arxiv.org/abs/2003.05531
