Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

Collection Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

Organizer(s) Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen

Date(s) 01/06/2020 - 05/06/2020

linked URL https://conferences.cirm-math.fr/virtualconference-2159.html

00:00:00 / 00:00:00

10 15

Right-angled Coxeter groups commensurable to right-angled Artin groups

By Ivan Levcovitz

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.

Information about the video

Date of recording 21/05/2020
Date of publication 01/06/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19636303
Cite this video Levcovitz, Ivan (21/05/2020). Right-angled Coxeter groups commensurable to right-angled Artin groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19636303
URL https://dx.doi.org/10.24350/CIRM.V.19636303

Domain(s)

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2159/Slides/levcovitz_visual_raags.pdf

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