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 [See also 05C25, 20E08, 57Mxx]