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Incoherence of free-by-free and surface-by-free groups
Virtualconference
Authors : Walsh, Genevieve (Author of the conference)
CIRM (Publisher )
Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/incoherence__5_.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : Keywords : incoherence; quasi-convex
Additional resources :
https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/incoherence__5_.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 22/05/2020 Subseries : Research talks arXiv category : Group Theory ; Geometric Topology Mathematical Area(s) : Algebra ; Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:32:20 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-29_Walch.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.19637203Cite this video as: 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 |
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Bibliography
- 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
