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Single angle Quasi-Cocycles Detect Hyperbolically Embedded Subgroups

Auteurs : Sisto, Alessandro (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Hyperbolically embedded subgroups have been defined by Dahmani-Guirardel-Osin and they provide a common perspective on (relatively) hyperbolic groups, mapping class groups, Out(F_n), CAT(0) groups and many others. I will sketch how to extend a quasi-cocycle on a hyperbolically embedded subgroup H to a quasi-cocycle on the ambient group G. Also, I will discuss how some of those extended quasi-cocycles (of dimension 2 and higher) "contain" the information that H is hyperbolically embedded in G. This is joint work with Roberto Frigerio and Maria Beatrice Pozzetti.

    20F65 - Geometric group theory

    Informations sur la rencontre

    Nom du congrès : Third Young Geometric Group Theory Meeting / Troisième rencontre des jeunes chercheurs en géométrie des groupes
    Dates : 20/01/2014 - 24/01/2014
    Année de la rencontre : 2014
    URL Congrès : https://math.univ-lille1.fr/~kassel/yggt3.html

    Citation Data

    DOI : 10.24350/CIRM.V.19024803
    Cite this video as: Sisto, Alessandro (2014). Quasi-Cocycles Detect Hyperbolically Embedded Subgroups.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19024803
    URI : http://dx.doi.org/10.24350/CIRM.V.19024803


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