ICTS:29131

Video URL

On the acylindricity of the outer automorphism group of non-solvable Baumslag-Solitar groups

On the acylindricity of the outer automorphism group of non-solvable Baumslag-Solitar groups

(2024). On the acylindricity of the outer automorphism group of non-solvable Baumslag-Solitar groups. SciVideos. https://youtu.be/PF6RBFRVxo8

On the acylindricity of the outer automorphism group of non-solvable Baumslag-Solitar groups. SciVideos, Aug. 04, 2024, https://youtu.be/PF6RBFRVxo8 

          @misc{ scivideos_ICTS:29131,
            doi = {},
            url = {https://youtu.be/PF6RBFRVxo8},
            author = {},
            keywords = {},
            language = {en},
            title = {On the acylindricity of the outer automorphism group of non-solvable Baumslag-Solitar groups},
            publisher = {},
            year = {2024},
            month = {aug},
            note = {ICTS:29131 see, \url{https://scivideos.org/icts-tifr/29131}}
          }
Bratati Som
Talk numberICTS:29131
Source RepositoryICTS-TIFR
Source EventGeometry in Groups
Collection

Abstract

A group G is called acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. It includes many examples of interest, e.g., nonelementary hyperbolic and relatively hyperbolic groups, all but finitely many mapping class groups of punctured closed surfaces, most 3-manifold groups and Out(Fn) for n > 1. Although BS(p, q) is essentially never acylindrically hyperbolic we will see in this talk that Out(BS(p, q)) is acylindrically hyperbolic for non-solvable Baumslag-Solitar groups, and explore further properties of the group using its acylindricity. This is joint work with Daxun Wang.