English
Incoherence of free-by-free and surface-by-free groups
Virtualconference
Auteurs : Walsh, Genevieve (Auteur de la Conférence)
CIRM (Editeur )
Ressources complémentaires :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/incoherence__5_.pdf
CIRM (Editeur )
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Résumé :
A group is said to be coherent if every finitely generated subgroup is finitely presented. This property is enjoyed by free groups, and the fundamental groups of surfaces and 3-manifolds. A group that is not coherent is incoherent, and it is very interesting to try and understand which groups are coherent. We will discuss some of the geometric and topological aspects of this question, particularly quasi-convexité and algebraic fibers. We show that free-by-free and surface-by-free groups are incoherent, when the rank and genus are at least 2. The proof uses an understanding of fibers and also the RFRS property. this is joint work with Robert Kropholler and Stefano Vidussi.
Keywords : incoherence; quasi-convex
Codes MSC : Keywords : incoherence; quasi-convex
Ressources complémentaires :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/incoherence__5_.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/06/2020 Date de captation : 22/05/2020 Sous collection : Research talks arXiv category : Group Theory ; Geometric Topology Domaine : Algebra ; Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:32:20 Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-29_Walch.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.19637203Citer cette vidéo: Walsh, Genevieve (2020). Incoherence of free-by-free and surface-by-free groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19637203 URI : http://dx.doi.org/10.24350/CIRM.V.19637203 |
Voir aussi
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Bibliographie
- KROPHOLLER, Robert, VIDUSSI, Stefano, et WALSH, Genevieve. Incoherence of free-by-free and surface-by-free groups. arXiv preprint arXiv:2005.01202, 2020. - https://arxiv.org/abs/2005.01202
