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math.GT2022
Linear isoperimetric functions for surfaces in hyperbolic groups
Macarena Arenas, Daniel T. Wise
We show that word-hyperbolic groups satisfy linear isoperimetric functions for all homotopy types of surface diagrams. This generalises the linear isoperimetric functions for disc…
math.GR2022
Failure of the finitely generated intersection property for ascending HNN extensions of free groups
Jacob Bamberger, Daniel T. Wise
The main result in this paper is the failure of the finitely generated intersection property (FGIP) of ascending HNN extensions of non-cyclic finite rank free groups. This class of…