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math.GR2021
Connectivity of the Gromov Boundary of the Free Factor Complex
Mladen Bestvina, Jon Chaika, Sebastian Hensel
We show that in large enough rank, the Gromov boundary of the free factor complex is path connected and locally path connected.
math.GR2018
The Geometry of the Handlebody Groups II: Dehn functions
Ursula Hamenstädt, Sebastian Hensel
We show that the Dehn function of the handlebody group is exponential in any genus . On the other hand, we show that the handlebody group of genus is cubical, biautoma…