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

3 15

Incoherence of free-by-free and surface-by-free groups

By Genevieve Walsh

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.

Information about the video

Date of recording 22/05/2020
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.19637203
Cite this video Walsh, Genevieve (22/05/2020). Incoherence of free-by-free and surface-by-free groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19637203
URL https://dx.doi.org/10.24350/CIRM.V.19637203

Domain(s)

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

Document(s)

https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/incoherence__5_.pdf

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