2 problems
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Equivalent NRH subgroup conjecture for Floyd boundaries
NRH subgroup conjecture. If is hyperbolic relative to a collection of NRH proper subgroups, then acts geometrically finitely on its Floyd boundary.
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Olshanskii–Osin–Sapir conjecture on Floyd boundaries and relative hyperbolicity
Olshanskii–Osin–Sapir conjecture. If has non-trivial Floyd boundary, then is hyperbolic relative to a collection of proper subgroups.