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Right-angled Coxeter groups commensurable to right-angled Artin groups
Virtualconference
Authors : Levcovitz, Ivan (Author of the conference)
CIRM (Publisher )
20F55 - Coxeter groups
20F65 - Geometric group theory
57M07 - Topological methods in group theory
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/levcovitz_visual_raags.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : Keywords : right-angled Coxeter groups; commensurability
20F55 - Coxeter groups
20F65 - Geometric group theory
57M07 - Topological methods in group theory
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/levcovitz_visual_raags.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 21/05/2020 Subseries : Research talks arXiv category : Group Theory ; General Topology ; Astrophysics Mathematical Area(s) : Topology Format : MP4 (.mp4) - HD Video Time : 00:37:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-21_Levcovitz.mp4 
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Information on the Event
Event Title : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesEvent Organizers : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/virtual...
Citation Data
DOI : 10.24350/CIRM.V.19636303Cite this video as: 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 |
See Also
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- [Virtualconference] Action rigidity for free products of hyperbolic manifold groups / Author of the conference Stark, Emily.
- [Virtualconference] Intersections and joins of subgroups in free groups / Author of the conference Soroko, Ignat.
- [Virtualconference] Effectively generating RAAGs in MCGs / Author of the conference Runnels, Ian.
- [Virtualconference] Parabolic subgroups of infinite type Artin groups / Author of the conference Morris-Wright, Rose.
- [Virtualconference] Quasi-actions and almost normal subgroups / Author of the conference Margolis, Alex.
- [Virtualconference] Action of the Cremona group on a CAT(0) cube complex / Author of the conference Lonjou, Anne.
- [Virtualconference] Computing fibring of 3-manifolds and free-by-cyclic groups / Author of the conference Kielak, Dawid.
- [Virtualconference] Shortcut graphs and groups / Author of the conference Hoda, Nima.
- [Virtualconference] Spin mapping class groups and curve graphs / Author of the conference Hamenstädt, Ursula.
- [Virtualconference] Spaces of cubulations / Author of the conference Fioravanti, Elia.
- [Virtualconference] Complexes of parabolic subgroups for Artin groups / Author of the conference Cumplido Cabello, Maria.
- [Virtualconference] Quasi-parabolic structures on groups / Author of the conference Balasubramanya, Sahana.
Bibliography
- 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
