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SUMMARY:On acylindricity of outer automorphism group of non-solvable Bauml
 ag-Solitar groups - Bratati Som\, University at Buffalo
DTSTART:20240606T150000Z
DTEND:20240606T160000Z
UID:TALK217132@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:A group G is called acylindrically hyperbolic if it admits a n
 on-elementary acylindrical action on a hyperbolic space. It includes many 
 examples of interest\, e.g.\, non-elementary hyperbolic and relatively hyp
 erbolic groups\, all but finitely many mapping class groups of punctured c
 losed surfaces\, most 3-manifold groups and Out(F_n) for n>1. In this talk
  we will see when Out(BS(p\,q)) is acylindrically hyperbolic for non-solva
 ble Baumslag-Solaitar groups and explore further properties of the group u
 sing its acylindricity. This adds new examples to the class of acylindrica
 lly hyperbolic groups where a group G is not acylindrically hyperbolic but
  Out(G) is. This talk is based on a joint work with Daxun Wang.
LOCATION:MR14
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